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Finding the Fourth Proportional to 882.32, 1,323.75 and 449.78

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Solution

The fourth proportional to 882.32, 1,323.75 and 449.78 is: 674.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.32 : 1,323.75 = 449.78 : x
  2. Step 2: Convert to fraction form
    882.32/1,323.75 = 449.78/x
  3. Step 3: Cross multiply
    882.32x = 1,323.75 × 449.78
  4. Step 4: Simplify right side
    882.32x = 595,396.28
  5. Step 5: Solve for x
    x = 595,396.28/882.32
  6. Step 6: Final answer
    x = 674.81

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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.