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Finding the Fourth Proportional to 1,242.62, 1,862.85 and 592.46

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Solution

The fourth proportional to 1,242.62, 1,862.85 and 592.46 is: 888.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.62 : 1,862.85 = 592.46 : x
  2. Step 2: Convert to fraction form
    1,242.62/1,862.85 = 592.46/x
  3. Step 3: Cross multiply
    1,242.62x = 1,862.85 × 592.46
  4. Step 4: Simplify right side
    1,242.62x = 1,103,664.11
  5. Step 5: Solve for x
    x = 1,103,664.11/1,242.62
  6. Step 6: Final answer
    x = 888.18

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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.