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Finding the Fourth Proportional to 733.85, 1,100.21 and 474.35

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Solution

The fourth proportional to 733.85, 1,100.21 and 474.35 is: 711.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.85 : 1,100.21 = 474.35 : x
  2. Step 2: Convert to fraction form
    733.85/1,100.21 = 474.35/x
  3. Step 3: Cross multiply
    733.85x = 1,100.21 × 474.35
  4. Step 4: Simplify right side
    733.85x = 521,876.74
  5. Step 5: Solve for x
    x = 521,876.74/733.85
  6. Step 6: Final answer
    x = 711.15

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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.