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Finding the Fourth Proportional to 1,190.76, 1,642.68 and 797.28

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Solution

The fourth proportional to 1,190.76, 1,642.68 and 797.28 is: 1,099.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.76 : 1,642.68 = 797.28 : x
  2. Step 2: Convert to fraction form
    1,190.76/1,642.68 = 797.28/x
  3. Step 3: Cross multiply
    1,190.76x = 1,642.68 × 797.28
  4. Step 4: Simplify right side
    1,190.76x = 1,309,675.91
  5. Step 5: Solve for x
    x = 1,309,675.91/1,190.76
  6. Step 6: Final answer
    x = 1,099.87

Related Problems

Find fourth proportional to 595.38, 821.34 and 398.64
Half scale
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Double scale
Find fourth proportional to 1,191.76, 1,644.06 and 798.28
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.