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Finding the Fourth Proportional to 635.12, 875.88 and 487.76

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Solution

The fourth proportional to 635.12, 875.88 and 487.76 is: 672.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.12 : 875.88 = 487.76 : x
  2. Step 2: Convert to fraction form
    635.12/875.88 = 487.76/x
  3. Step 3: Cross multiply
    635.12x = 875.88 × 487.76
  4. Step 4: Simplify right side
    635.12x = 427,219.23
  5. Step 5: Solve for x
    x = 427,219.23/635.12
  6. Step 6: Final answer
    x = 672.66

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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.