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Finding the Fourth Proportional to 501.47, 691.80 and 314.83

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Solution

The fourth proportional to 501.47, 691.80 and 314.83 is: 434.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.47 : 691.80 = 314.83 : x
  2. Step 2: Convert to fraction form
    501.47/691.80 = 314.83/x
  3. Step 3: Cross multiply
    501.47x = 691.80 × 314.83
  4. Step 4: Simplify right side
    501.47x = 217,799.39
  5. Step 5: Solve for x
    x = 217,799.39/501.47
  6. Step 6: Final answer
    x = 434.32

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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.