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Finding the Fourth Proportional to 1,480.55, 2,221.70 and 614.86

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Solution

The fourth proportional to 1,480.55, 2,221.70 and 614.86 is: 922.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.55 : 2,221.70 = 614.86 : x
  2. Step 2: Convert to fraction form
    1,480.55/2,221.70 = 614.86/x
  3. Step 3: Cross multiply
    1,480.55x = 2,221.70 × 614.86
  4. Step 4: Simplify right side
    1,480.55x = 1,366,025.83
  5. Step 5: Solve for x
    x = 1,366,025.83/1,480.55
  6. Step 6: Final answer
    x = 922.65

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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.