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Finding the Fourth Proportional to 535.22, 801.57 and 449.11

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Solution

The fourth proportional to 535.22, 801.57 and 449.11 is: 672.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.22 : 801.57 = 449.11 : x
  2. Step 2: Convert to fraction form
    535.22/801.57 = 449.11/x
  3. Step 3: Cross multiply
    535.22x = 801.57 × 449.11
  4. Step 4: Simplify right side
    535.22x = 359,988.75
  5. Step 5: Solve for x
    x = 359,988.75/535.22
  6. Step 6: Final answer
    x = 672.60

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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.