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Finding the Fourth Proportional to 862.61, 1,294.36 and 429.75

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Solution

The fourth proportional to 862.61, 1,294.36 and 429.75 is: 644.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.61 : 1,294.36 = 429.75 : x
  2. Step 2: Convert to fraction form
    862.61/1,294.36 = 429.75/x
  3. Step 3: Cross multiply
    862.61x = 1,294.36 × 429.75
  4. Step 4: Simplify right side
    862.61x = 556,250.14
  5. Step 5: Solve for x
    x = 556,250.14/862.61
  6. Step 6: Final answer
    x = 644.85

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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.