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Finding the Fourth Proportional to 809.38, 1,117.02 and 460

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Solution

The fourth proportional to 809.38, 1,117.02 and 460 is: 634.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.38 : 1,117.02 = 460 : x
  2. Step 2: Convert to fraction form
    809.38/1,117.02 = 460/x
  3. Step 3: Cross multiply
    809.38x = 1,117.02 × 460
  4. Step 4: Simplify right side
    809.38x = 513,829.20
  5. Step 5: Solve for x
    x = 513,829.20/809.38
  6. Step 6: Final answer
    x = 634.84

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Double scale
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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.