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Finding the Fourth Proportional to 1,124.34, 1,551.06 and 731.22

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Solution

The fourth proportional to 1,124.34, 1,551.06 and 731.22 is: 1,008.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.34 : 1,551.06 = 731.22 : x
  2. Step 2: Convert to fraction form
    1,124.34/1,551.06 = 731.22/x
  3. Step 3: Cross multiply
    1,124.34x = 1,551.06 × 731.22
  4. Step 4: Simplify right side
    1,124.34x = 1,134,166.09
  5. Step 5: Solve for x
    x = 1,134,166.09/1,124.34
  6. Step 6: Final answer
    x = 1,008.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.