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Finding the Fourth Proportional to 1,154.44, 1,732.07 and 424.02

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Solution

The fourth proportional to 1,154.44, 1,732.07 and 424.02 is: 636.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.44 : 1,732.07 = 424.02 : x
  2. Step 2: Convert to fraction form
    1,154.44/1,732.07 = 424.02/x
  3. Step 3: Cross multiply
    1,154.44x = 1,732.07 × 424.02
  4. Step 4: Simplify right side
    1,154.44x = 734,432.32
  5. Step 5: Solve for x
    x = 734,432.32/1,154.44
  6. Step 6: Final answer
    x = 636.18

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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.