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Finding the Fourth Proportional to 1,242.24, 1,862.82 and 511.35

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Solution

The fourth proportional to 1,242.24, 1,862.82 and 511.35 is: 766.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.24 : 1,862.82 = 511.35 : x
  2. Step 2: Convert to fraction form
    1,242.24/1,862.82 = 511.35/x
  3. Step 3: Cross multiply
    1,242.24x = 1,862.82 × 511.35
  4. Step 4: Simplify right side
    1,242.24x = 952,553.01
  5. Step 5: Solve for x
    x = 952,553.01/1,242.24
  6. Step 6: Final answer
    x = 766.80

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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.