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Finding the Fourth Proportional to 1,432.56, 2,148.36 and 458.43

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Solution

The fourth proportional to 1,432.56, 2,148.36 and 458.43 is: 687.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.56 : 2,148.36 = 458.43 : x
  2. Step 2: Convert to fraction form
    1,432.56/2,148.36 = 458.43/x
  3. Step 3: Cross multiply
    1,432.56x = 2,148.36 × 458.43
  4. Step 4: Simplify right side
    1,432.56x = 984,872.67
  5. Step 5: Solve for x
    x = 984,872.67/1,432.56
  6. Step 6: Final answer
    x = 687.49

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1.5x scale

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.