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Finding the Fourth Proportional to 635.18, 875.68 and 425.40

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Solution

The fourth proportional to 635.18, 875.68 and 425.40 is: 586.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.18 : 875.68 = 425.40 : x
  2. Step 2: Convert to fraction form
    635.18/875.68 = 425.40/x
  3. Step 3: Cross multiply
    635.18x = 875.68 × 425.40
  4. Step 4: Simplify right side
    635.18x = 372,514.27
  5. Step 5: Solve for x
    x = 372,514.27/635.18
  6. Step 6: Final answer
    x = 586.47

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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.