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Finding the Fourth Proportional to 758.61, 1,137.87 and 429.50

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Solution

The fourth proportional to 758.61, 1,137.87 and 429.50 is: 644.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.61 : 1,137.87 = 429.50 : x
  2. Step 2: Convert to fraction form
    758.61/1,137.87 = 429.50/x
  3. Step 3: Cross multiply
    758.61x = 1,137.87 × 429.50
  4. Step 4: Simplify right side
    758.61x = 488,709.48
  5. Step 5: Solve for x
    x = 488,709.48/758.61
  6. Step 6: Final answer
    x = 644.22

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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.