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Finding the Fourth Proportional to 501.59, 691.98 and 314.95

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Solution

The fourth proportional to 501.59, 691.98 and 314.95 is: 434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.59 : 691.98 = 314.95 : x
  2. Step 2: Convert to fraction form
    501.59/691.98 = 314.95/x
  3. Step 3: Cross multiply
    501.59x = 691.98 × 314.95
  4. Step 4: Simplify right side
    501.59x = 217,939.10
  5. Step 5: Solve for x
    x = 217,939.10/501.59
  6. Step 6: Final answer
    x = 434.50

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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.