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Finding the Fourth Proportional to 754.62, 1,130.85 and 429.30

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Solution

The fourth proportional to 754.62, 1,130.85 and 429.30 is: 643.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.62 : 1,130.85 = 429.30 : x
  2. Step 2: Convert to fraction form
    754.62/1,130.85 = 429.30/x
  3. Step 3: Cross multiply
    754.62x = 1,130.85 × 429.30
  4. Step 4: Simplify right side
    754.62x = 485,473.91
  5. Step 5: Solve for x
    x = 485,473.91/754.62
  6. Step 6: Final answer
    x = 643.34

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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.