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Finding the Fourth Proportional to 501.66, 691.94 and 315.16

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Solution

The fourth proportional to 501.66, 691.94 and 315.16 is: 434.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.66 : 691.94 = 315.16 : x
  2. Step 2: Convert to fraction form
    501.66/691.94 = 315.16/x
  3. Step 3: Cross multiply
    501.66x = 691.94 × 315.16
  4. Step 4: Simplify right side
    501.66x = 218,070.87
  5. Step 5: Solve for x
    x = 218,070.87/501.66
  6. Step 6: Final answer
    x = 434.70

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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.