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Finding the Fourth Proportional to 1,150.42, 1,724.68 and 534.57

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Solution

The fourth proportional to 1,150.42, 1,724.68 and 534.57 is: 801.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.42 : 1,724.68 = 534.57 : x
  2. Step 2: Convert to fraction form
    1,150.42/1,724.68 = 534.57/x
  3. Step 3: Cross multiply
    1,150.42x = 1,724.68 × 534.57
  4. Step 4: Simplify right side
    1,150.42x = 921,962.19
  5. Step 5: Solve for x
    x = 921,962.19/1,150.42
  6. Step 6: Final answer
    x = 801.41

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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.