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Finding the Fourth Proportional to 635.28, 875.68 and 477.69

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Solution

The fourth proportional to 635.28, 875.68 and 477.69 is: 658.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.28 : 875.68 = 477.69 : x
  2. Step 2: Convert to fraction form
    635.28/875.68 = 477.69/x
  3. Step 3: Cross multiply
    635.28x = 875.68 × 477.69
  4. Step 4: Simplify right side
    635.28x = 418,303.58
  5. Step 5: Solve for x
    x = 418,303.58/635.28
  6. Step 6: Final answer
    x = 658.46

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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.