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Finding the Fourth Proportional to 546.12, 752.49 and 435.42

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Solution

The fourth proportional to 546.12, 752.49 and 435.42 is: 599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.12 : 752.49 = 435.42 : x
  2. Step 2: Convert to fraction form
    546.12/752.49 = 435.42/x
  3. Step 3: Cross multiply
    546.12x = 752.49 × 435.42
  4. Step 4: Simplify right side
    546.12x = 327,649.20
  5. Step 5: Solve for x
    x = 327,649.20/546.12
  6. Step 6: Final answer
    x = 599.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.