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Finding the Fourth Proportional to 487.72, 671.98 and 425.62

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Solution

The fourth proportional to 487.72, 671.98 and 425.62 is: 586.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.72 : 671.98 = 425.62 : x
  2. Step 2: Convert to fraction form
    487.72/671.98 = 425.62/x
  3. Step 3: Cross multiply
    487.72x = 671.98 × 425.62
  4. Step 4: Simplify right side
    487.72x = 286,002.64
  5. Step 5: Solve for x
    x = 286,002.64/487.72
  6. Step 6: Final answer
    x = 586.41

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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.