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Finding the Fourth Proportional to 1,024.02, 1,536.98 and 731.80

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Solution

The fourth proportional to 1,024.02, 1,536.98 and 731.80 is: 1,098.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.02 : 1,536.98 = 731.80 : x
  2. Step 2: Convert to fraction form
    1,024.02/1,536.98 = 731.80/x
  3. Step 3: Cross multiply
    1,024.02x = 1,536.98 × 731.80
  4. Step 4: Simplify right side
    1,024.02x = 1,124,761.96
  5. Step 5: Solve for x
    x = 1,124,761.96/1,024.02
  6. Step 6: Final answer
    x = 1,098.38

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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.