Home / 1,432.24-2,148.77-458.41

Finding the Fourth Proportional to 1,432.24, 2,148.77 and 458.41

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Solution

The fourth proportional to 1,432.24, 2,148.77 and 458.41 is: 687.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.24 : 2,148.77 = 458.41 : x
  2. Step 2: Convert to fraction form
    1,432.24/2,148.77 = 458.41/x
  3. Step 3: Cross multiply
    1,432.24x = 2,148.77 × 458.41
  4. Step 4: Simplify right side
    1,432.24x = 985,017.66
  5. Step 5: Solve for x
    x = 985,017.66/1,432.24
  6. Step 6: Final answer
    x = 687.75

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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.