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Finding the Fourth Proportional to 743.70, 1,115.54 and 332.76

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Solution

The fourth proportional to 743.70, 1,115.54 and 332.76 is: 499.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.70 : 1,115.54 = 332.76 : x
  2. Step 2: Convert to fraction form
    743.70/1,115.54 = 332.76/x
  3. Step 3: Cross multiply
    743.70x = 1,115.54 × 332.76
  4. Step 4: Simplify right side
    743.70x = 371,207.09
  5. Step 5: Solve for x
    x = 371,207.09/743.70
  6. Step 6: Final answer
    x = 499.14

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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.