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Finding the Fourth Proportional to 634.95, 875.75 and 477.63

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Solution

The fourth proportional to 634.95, 875.75 and 477.63 is: 658.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.95 : 875.75 = 477.63 : x
  2. Step 2: Convert to fraction form
    634.95/875.75 = 477.63/x
  3. Step 3: Cross multiply
    634.95x = 875.75 × 477.63
  4. Step 4: Simplify right side
    634.95x = 418,282.08
  5. Step 5: Solve for x
    x = 418,282.08/634.95
  6. Step 6: Final answer
    x = 658.76

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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.