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Finding the Fourth Proportional to 653.20, 902.28 and 487.13

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Solution

The fourth proportional to 653.20, 902.28 and 487.13 is: 672.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.20 : 902.28 = 487.13 : x
  2. Step 2: Convert to fraction form
    653.20/902.28 = 487.13/x
  3. Step 3: Cross multiply
    653.20x = 902.28 × 487.13
  4. Step 4: Simplify right side
    653.20x = 439,520.71
  5. Step 5: Solve for x
    x = 439,520.71/653.20
  6. Step 6: Final answer
    x = 672.87

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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.