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Finding the Fourth Proportional to 820.71, 1,132.32 and 558.27

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Solution

The fourth proportional to 820.71, 1,132.32 and 558.27 is: 770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.71 : 1,132.32 = 558.27 : x
  2. Step 2: Convert to fraction form
    820.71/1,132.32 = 558.27/x
  3. Step 3: Cross multiply
    820.71x = 1,132.32 × 558.27
  4. Step 4: Simplify right side
    820.71x = 632,140.29
  5. Step 5: Solve for x
    x = 632,140.29/820.71
  6. Step 6: Final answer
    x = 770.24

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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.