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Finding the Fourth Proportional to 1,432.00, 2,147.46 and 494.68

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Solution

The fourth proportional to 1,432.00, 2,147.46 and 494.68 is: 741.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.00 : 2,147.46 = 494.68 : x
  2. Step 2: Convert to fraction form
    1,432.00/2,147.46 = 494.68/x
  3. Step 3: Cross multiply
    1,432.00x = 2,147.46 × 494.68
  4. Step 4: Simplify right side
    1,432.00x = 1,062,311.14
  5. Step 5: Solve for x
    x = 1,062,311.14/1,432.00
  6. Step 6: Final answer
    x = 741.84

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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.