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Finding the Fourth Proportional to 1,587.60, 2,380.03 and 614.38

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Solution

The fourth proportional to 1,587.60, 2,380.03 and 614.38 is: 921.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.60 : 2,380.03 = 614.38 : x
  2. Step 2: Convert to fraction form
    1,587.60/2,380.03 = 614.38/x
  3. Step 3: Cross multiply
    1,587.60x = 2,380.03 × 614.38
  4. Step 4: Simplify right side
    1,587.60x = 1,462,242.83
  5. Step 5: Solve for x
    x = 1,462,242.83/1,587.60
  6. Step 6: Final answer
    x = 921.04

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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.