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Finding the Fourth Proportional to 977.38, 1,464.24 and 759.92

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Solution

The fourth proportional to 977.38, 1,464.24 and 759.92 is: 1,138.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.38 : 1,464.24 = 759.92 : x
  2. Step 2: Convert to fraction form
    977.38/1,464.24 = 759.92/x
  3. Step 3: Cross multiply
    977.38x = 1,464.24 × 759.92
  4. Step 4: Simplify right side
    977.38x = 1,112,705.26
  5. Step 5: Solve for x
    x = 1,112,705.26/977.38
  6. Step 6: Final answer
    x = 1,138.46

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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.