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Finding the Fourth Proportional to 842.76, 1,160.55 and 823.68

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Solution

The fourth proportional to 842.76, 1,160.55 and 823.68 is: 1,134.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.76 : 1,160.55 = 823.68 : x
  2. Step 2: Convert to fraction form
    842.76/1,160.55 = 823.68/x
  3. Step 3: Cross multiply
    842.76x = 1,160.55 × 823.68
  4. Step 4: Simplify right side
    842.76x = 955,921.82
  5. Step 5: Solve for x
    x = 955,921.82/842.76
  6. Step 6: Final answer
    x = 1,134.28

Related Problems

Find fourth proportional to 421.38, 580.28 and 411.84
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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.