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Finding the Fourth Proportional to 1,652.12, 2,475.87 and 773.68

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Solution

The fourth proportional to 1,652.12, 2,475.87 and 773.68 is: 1,159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.12 : 2,475.87 = 773.68 : x
  2. Step 2: Convert to fraction form
    1,652.12/2,475.87 = 773.68/x
  3. Step 3: Cross multiply
    1,652.12x = 2,475.87 × 773.68
  4. Step 4: Simplify right side
    1,652.12x = 1,915,531.10
  5. Step 5: Solve for x
    x = 1,915,531.10/1,652.12
  6. Step 6: Final answer
    x = 1,159.44

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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.