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Finding the Fourth Proportional to 779.85, 1,171.46 and 471.87

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Solution

The fourth proportional to 779.85, 1,171.46 and 471.87 is: 708.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.85 : 1,171.46 = 471.87 : x
  2. Step 2: Convert to fraction form
    779.85/1,171.46 = 471.87/x
  3. Step 3: Cross multiply
    779.85x = 1,171.46 × 471.87
  4. Step 4: Simplify right side
    779.85x = 552,774.47
  5. Step 5: Solve for x
    x = 552,774.47/779.85
  6. Step 6: Final answer
    x = 708.83

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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.