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Finding the Fourth Proportional to 736.61, 1,103.88 and 553.79

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Solution

The fourth proportional to 736.61, 1,103.88 and 553.79 is: 829.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.61 : 1,103.88 = 553.79 : x
  2. Step 2: Convert to fraction form
    736.61/1,103.88 = 553.79/x
  3. Step 3: Cross multiply
    736.61x = 1,103.88 × 553.79
  4. Step 4: Simplify right side
    736.61x = 611,310.11
  5. Step 5: Solve for x
    x = 611,310.11/736.61
  6. Step 6: Final answer
    x = 829.90

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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.