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Finding the Fourth Proportional to 1,024.18, 1,536.63 and 871.27

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Solution

The fourth proportional to 1,024.18, 1,536.63 and 871.27 is: 1,307.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.18 : 1,536.63 = 871.27 : x
  2. Step 2: Convert to fraction form
    1,024.18/1,536.63 = 871.27/x
  3. Step 3: Cross multiply
    1,024.18x = 1,536.63 × 871.27
  4. Step 4: Simplify right side
    1,024.18x = 1,338,819.62
  5. Step 5: Solve for x
    x = 1,338,819.62/1,024.18
  6. Step 6: Final answer
    x = 1,307.21

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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.