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Finding the Fourth Proportional to 487.17, 671.69 and 424.06

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Solution

The fourth proportional to 487.17, 671.69 and 424.06 is: 584.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.17 : 671.69 = 424.06 : x
  2. Step 2: Convert to fraction form
    487.17/671.69 = 424.06/x
  3. Step 3: Cross multiply
    487.17x = 671.69 × 424.06
  4. Step 4: Simplify right side
    487.17x = 284,836.24
  5. Step 5: Solve for x
    x = 284,836.24/487.17
  6. Step 6: Final answer
    x = 584.68

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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.