Home / 1,432.30-2,148.41-458.38

Finding the Fourth Proportional to 1,432.30, 2,148.41 and 458.38

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Solution

The fourth proportional to 1,432.30, 2,148.41 and 458.38 is: 687.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.30 : 2,148.41 = 458.38 : x
  2. Step 2: Convert to fraction form
    1,432.30/2,148.41 = 458.38/x
  3. Step 3: Cross multiply
    1,432.30x = 2,148.41 × 458.38
  4. Step 4: Simplify right side
    1,432.30x = 984,793.94
  5. Step 5: Solve for x
    x = 984,793.94/1,432.30
  6. Step 6: Final answer
    x = 687.56

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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.