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Finding the Fourth Proportional to 463.15, 691.37 and 462.07

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Solution

The fourth proportional to 463.15, 691.37 and 462.07 is: 689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.15 : 691.37 = 462.07 : x
  2. Step 2: Convert to fraction form
    463.15/691.37 = 462.07/x
  3. Step 3: Cross multiply
    463.15x = 691.37 × 462.07
  4. Step 4: Simplify right side
    463.15x = 319,461.34
  5. Step 5: Solve for x
    x = 319,461.34/463.15
  6. Step 6: Final answer
    x = 689.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.