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Finding the Fourth Proportional to 487.21, 725.89 and 463.99

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Solution

The fourth proportional to 487.21, 725.89 and 463.99 is: 691.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.21 : 725.89 = 463.99 : x
  2. Step 2: Convert to fraction form
    487.21/725.89 = 463.99/x
  3. Step 3: Cross multiply
    487.21x = 725.89 × 463.99
  4. Step 4: Simplify right side
    487.21x = 336,802.73
  5. Step 5: Solve for x
    x = 336,802.73/487.21
  6. Step 6: Final answer
    x = 691.29

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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.