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Finding the Fourth Proportional to 487.72, 663.76 and 483.40

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Solution

The fourth proportional to 487.72, 663.76 and 483.40 is: 657.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.72 : 663.76 = 483.40 : x
  2. Step 2: Convert to fraction form
    487.72/663.76 = 483.40/x
  3. Step 3: Cross multiply
    487.72x = 663.76 × 483.40
  4. Step 4: Simplify right side
    487.72x = 320,861.58
  5. Step 5: Solve for x
    x = 320,861.58/487.72
  6. Step 6: Final answer
    x = 657.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.