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Finding the Fourth Proportional to 733.80, 1,099.66 and 527.40

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Solution

The fourth proportional to 733.80, 1,099.66 and 527.40 is: 790.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.80 : 1,099.66 = 527.40 : x
  2. Step 2: Convert to fraction form
    733.80/1,099.66 = 527.40/x
  3. Step 3: Cross multiply
    733.80x = 1,099.66 × 527.40
  4. Step 4: Simplify right side
    733.80x = 579,960.35
  5. Step 5: Solve for x
    x = 579,960.35/733.80
  6. Step 6: Final answer
    x = 790.35

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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.