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Finding the Fourth Proportional to 809.47, 1,117.52 and 557.70

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Solution

The fourth proportional to 809.47, 1,117.52 and 557.70 is: 769.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.47 : 1,117.52 = 557.70 : x
  2. Step 2: Convert to fraction form
    809.47/1,117.52 = 557.70/x
  3. Step 3: Cross multiply
    809.47x = 1,117.52 × 557.70
  4. Step 4: Simplify right side
    809.47x = 623,240.90
  5. Step 5: Solve for x
    x = 623,240.90/809.47
  6. Step 6: Final answer
    x = 769.94

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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.