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Finding the Fourth Proportional to 929.20, 1,281.93 and 614.60

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Solution

The fourth proportional to 929.20, 1,281.93 and 614.60 is: 847.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.20 : 1,281.93 = 614.60 : x
  2. Step 2: Convert to fraction form
    929.20/1,281.93 = 614.60/x
  3. Step 3: Cross multiply
    929.20x = 1,281.93 × 614.60
  4. Step 4: Simplify right side
    929.20x = 787,874.18
  5. Step 5: Solve for x
    x = 787,874.18/929.20
  6. Step 6: Final answer
    x = 847.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.