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Finding the Fourth Proportional to 706.38, 1,057.27 and 521.20

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Solution

The fourth proportional to 706.38, 1,057.27 and 521.20 is: 780.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.38 : 1,057.27 = 521.20 : x
  2. Step 2: Convert to fraction form
    706.38/1,057.27 = 521.20/x
  3. Step 3: Cross multiply
    706.38x = 1,057.27 × 521.20
  4. Step 4: Simplify right side
    706.38x = 551,049.12
  5. Step 5: Solve for x
    x = 551,049.12/706.38
  6. Step 6: Final answer
    x = 780.10

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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.