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Finding the Fourth Proportional to 635.42, 875.06 and 546.18

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Solution

The fourth proportional to 635.42, 875.06 and 546.18 is: 752.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.42 : 875.06 = 546.18 : x
  2. Step 2: Convert to fraction form
    635.42/875.06 = 546.18/x
  3. Step 3: Cross multiply
    635.42x = 875.06 × 546.18
  4. Step 4: Simplify right side
    635.42x = 477,940.27
  5. Step 5: Solve for x
    x = 477,940.27/635.42
  6. Step 6: Final answer
    x = 752.16

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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.