Home / 1,464.20-2,197.31-642.72

Finding the Fourth Proportional to 1,464.20, 2,197.31 and 642.72

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Solution

The fourth proportional to 1,464.20, 2,197.31 and 642.72 is: 964.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.20 : 2,197.31 = 642.72 : x
  2. Step 2: Convert to fraction form
    1,464.20/2,197.31 = 642.72/x
  3. Step 3: Cross multiply
    1,464.20x = 2,197.31 × 642.72
  4. Step 4: Simplify right side
    1,464.20x = 1,412,251.87
  5. Step 5: Solve for x
    x = 1,412,251.87/1,464.20
  6. Step 6: Final answer
    x = 964.52

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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.