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Finding the Fourth Proportional to 733.72, 1,098.54 and 586.72

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Solution

The fourth proportional to 733.72, 1,098.54 and 586.72 is: 878.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.72 : 1,098.54 = 586.72 : x
  2. Step 2: Convert to fraction form
    733.72/1,098.54 = 586.72/x
  3. Step 3: Cross multiply
    733.72x = 1,098.54 × 586.72
  4. Step 4: Simplify right side
    733.72x = 644,535.39
  5. Step 5: Solve for x
    x = 644,535.39/733.72
  6. Step 6: Final answer
    x = 878.45

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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.