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Finding the Fourth Proportional to 487.23, 732.05 and 458.07

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Solution

The fourth proportional to 487.23, 732.05 and 458.07 is: 688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.23 : 732.05 = 458.07 : x
  2. Step 2: Convert to fraction form
    487.23/732.05 = 458.07/x
  3. Step 3: Cross multiply
    487.23x = 732.05 × 458.07
  4. Step 4: Simplify right side
    487.23x = 335,330.14
  5. Step 5: Solve for x
    x = 335,330.14/487.23
  6. Step 6: Final answer
    x = 688.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.