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Finding the Fourth Proportional to 710.78, 1,064.49 and 449.87

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Solution

The fourth proportional to 710.78, 1,064.49 and 449.87 is: 673.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.78 : 1,064.49 = 449.87 : x
  2. Step 2: Convert to fraction form
    710.78/1,064.49 = 449.87/x
  3. Step 3: Cross multiply
    710.78x = 1,064.49 × 449.87
  4. Step 4: Simplify right side
    710.78x = 478,882.12
  5. Step 5: Solve for x
    x = 478,882.12/710.78
  6. Step 6: Final answer
    x = 673.74

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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.