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Finding the Fourth Proportional to 1,587.55, 2,382.71 and 614.33

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Solution

The fourth proportional to 1,587.55, 2,382.71 and 614.33 is: 922.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.55 : 2,382.71 = 614.33 : x
  2. Step 2: Convert to fraction form
    1,587.55/2,382.71 = 614.33/x
  3. Step 3: Cross multiply
    1,587.55x = 2,382.71 × 614.33
  4. Step 4: Simplify right side
    1,587.55x = 1,463,770.23
  5. Step 5: Solve for x
    x = 1,463,770.23/1,587.55
  6. Step 6: Final answer
    x = 922.03

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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.