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Finding the Fourth Proportional to 732.18, 1,098.47 and 407.78

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Solution

The fourth proportional to 732.18, 1,098.47 and 407.78 is: 611.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.18 : 1,098.47 = 407.78 : x
  2. Step 2: Convert to fraction form
    732.18/1,098.47 = 407.78/x
  3. Step 3: Cross multiply
    732.18x = 1,098.47 × 407.78
  4. Step 4: Simplify right side
    732.18x = 447,928.60
  5. Step 5: Solve for x
    x = 447,928.60/732.18
  6. Step 6: Final answer
    x = 611.77

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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.