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Finding the Fourth Proportional to 1,154.43, 1,731.42 and 332.67

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Solution

The fourth proportional to 1,154.43, 1,731.42 and 332.67 is: 498.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.43 : 1,731.42 = 332.67 : x
  2. Step 2: Convert to fraction form
    1,154.43/1,731.42 = 332.67/x
  3. Step 3: Cross multiply
    1,154.43x = 1,731.42 × 332.67
  4. Step 4: Simplify right side
    1,154.43x = 575,991.49
  5. Step 5: Solve for x
    x = 575,991.49/1,154.43
  6. Step 6: Final answer
    x = 498.94

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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.