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Finding the Fourth Proportional to 521.15, 781.08 and 456.00

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Solution

The fourth proportional to 521.15, 781.08 and 456.00 is: 683.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.15 : 781.08 = 456.00 : x
  2. Step 2: Convert to fraction form
    521.15/781.08 = 456.00/x
  3. Step 3: Cross multiply
    521.15x = 781.08 × 456.00
  4. Step 4: Simplify right side
    521.15x = 356,167.84
  5. Step 5: Solve for x
    x = 356,167.84/521.15
  6. Step 6: Final answer
    x = 683.43

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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.