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Finding the Fourth Proportional to 463.72, 691.45 and 458.05

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Solution

The fourth proportional to 463.72, 691.45 and 458.05 is: 683.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.72 : 691.45 = 458.05 : x
  2. Step 2: Convert to fraction form
    463.72/691.45 = 458.05/x
  3. Step 3: Cross multiply
    463.72x = 691.45 × 458.05
  4. Step 4: Simplify right side
    463.72x = 316,718.67
  5. Step 5: Solve for x
    x = 316,718.67/463.72
  6. Step 6: Final answer
    x = 683.00

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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.