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Finding the Fourth Proportional to 1,210.76, 1,671.54 and 797.96

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Solution

The fourth proportional to 1,210.76, 1,671.54 and 797.96 is: 1,101.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.76 : 1,671.54 = 797.96 : x
  2. Step 2: Convert to fraction form
    1,210.76/1,671.54 = 797.96/x
  3. Step 3: Cross multiply
    1,210.76x = 1,671.54 × 797.96
  4. Step 4: Simplify right side
    1,210.76x = 1,333,822.06
  5. Step 5: Solve for x
    x = 1,333,822.06/1,210.76
  6. Step 6: Final answer
    x = 1,101.64

Related Problems

Find fourth proportional to 605.38, 835.77 and 398.98
Half scale
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Double scale
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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.