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Finding the Fourth Proportional to 1,100.31, 1,651.28 and 886.47

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Solution

The fourth proportional to 1,100.31, 1,651.28 and 886.47 is: 1,330.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.31 : 1,651.28 = 886.47 : x
  2. Step 2: Convert to fraction form
    1,100.31/1,651.28 = 886.47/x
  3. Step 3: Cross multiply
    1,100.31x = 1,651.28 × 886.47
  4. Step 4: Simplify right side
    1,100.31x = 1,463,810.18
  5. Step 5: Solve for x
    x = 1,463,810.18/1,100.31
  6. Step 6: Final answer
    x = 1,330.36

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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.