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Finding the Fourth Proportional to 785.52, 1,177.20 and 496.44

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Solution

The fourth proportional to 785.52, 1,177.20 and 496.44 is: 743.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.52 : 1,177.20 = 496.44 : x
  2. Step 2: Convert to fraction form
    785.52/1,177.20 = 496.44/x
  3. Step 3: Cross multiply
    785.52x = 1,177.20 × 496.44
  4. Step 4: Simplify right side
    785.52x = 584,409.17
  5. Step 5: Solve for x
    x = 584,409.17/785.52
  6. Step 6: Final answer
    x = 743.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.