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Finding the Fourth Proportional to 733.86, 1,099.58 and 579.15

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Solution

The fourth proportional to 733.86, 1,099.58 and 579.15 is: 867.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.86 : 1,099.58 = 579.15 : x
  2. Step 2: Convert to fraction form
    733.86/1,099.58 = 579.15/x
  3. Step 3: Cross multiply
    733.86x = 1,099.58 × 579.15
  4. Step 4: Simplify right side
    733.86x = 636,818.86
  5. Step 5: Solve for x
    x = 636,818.86/733.86
  6. Step 6: Final answer
    x = 867.77

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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.