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Finding the Fourth Proportional to 1,154.15, 1,731.49 and 332.43

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Solution

The fourth proportional to 1,154.15, 1,731.49 and 332.43 is: 498.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.15 : 1,731.49 = 332.43 : x
  2. Step 2: Convert to fraction form
    1,154.15/1,731.49 = 332.43/x
  3. Step 3: Cross multiply
    1,154.15x = 1,731.49 × 332.43
  4. Step 4: Simplify right side
    1,154.15x = 575,599.22
  5. Step 5: Solve for x
    x = 575,599.22/1,154.15
  6. Step 6: Final answer
    x = 498.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.