Home / 1,432.13-2,148.20-458.31

Finding the Fourth Proportional to 1,432.13, 2,148.20 and 458.31

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Solution

The fourth proportional to 1,432.13, 2,148.20 and 458.31 is: 687.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.13 : 2,148.20 = 458.31 : x
  2. Step 2: Convert to fraction form
    1,432.13/2,148.20 = 458.31/x
  3. Step 3: Cross multiply
    1,432.13x = 2,148.20 × 458.31
  4. Step 4: Simplify right side
    1,432.13x = 984,539.25
  5. Step 5: Solve for x
    x = 984,539.25/1,432.13
  6. Step 6: Final answer
    x = 687.47

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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.