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Finding the Fourth Proportional to 649.24, 974.54 and 487.72

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Solution

The fourth proportional to 649.24, 974.54 and 487.72 is: 732.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.24 : 974.54 = 487.72 : x
  2. Step 2: Convert to fraction form
    649.24/974.54 = 487.72/x
  3. Step 3: Cross multiply
    649.24x = 974.54 × 487.72
  4. Step 4: Simplify right side
    649.24x = 475,302.65
  5. Step 5: Solve for x
    x = 475,302.65/649.24
  6. Step 6: Final answer
    x = 732.09

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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.