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Finding the Fourth Proportional to 1,154.59, 1,731.58 and 424.37

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Solution

The fourth proportional to 1,154.59, 1,731.58 and 424.37 is: 636.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.59 : 1,731.58 = 424.37 : x
  2. Step 2: Convert to fraction form
    1,154.59/1,731.58 = 424.37/x
  3. Step 3: Cross multiply
    1,154.59x = 1,731.58 × 424.37
  4. Step 4: Simplify right side
    1,154.59x = 734,833.87
  5. Step 5: Solve for x
    x = 734,833.87/1,154.59
  6. Step 6: Final answer
    x = 636.45

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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.