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Finding the Fourth Proportional to 733.77, 1,098.66 and 579.99

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Solution

The fourth proportional to 733.77, 1,098.66 and 579.99 is: 868.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.77 : 1,098.66 = 579.99 : x
  2. Step 2: Convert to fraction form
    733.77/1,098.66 = 579.99/x
  3. Step 3: Cross multiply
    733.77x = 1,098.66 × 579.99
  4. Step 4: Simplify right side
    733.77x = 637,211.81
  5. Step 5: Solve for x
    x = 637,211.81/733.77
  6. Step 6: Final answer
    x = 868.41

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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.