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Finding the Fourth Proportional to 634.85, 875.07 and 477.24

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Solution

The fourth proportional to 634.85, 875.07 and 477.24 is: 657.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.85 : 875.07 = 477.24 : x
  2. Step 2: Convert to fraction form
    634.85/875.07 = 477.24/x
  3. Step 3: Cross multiply
    634.85x = 875.07 × 477.24
  4. Step 4: Simplify right side
    634.85x = 417,618.41
  5. Step 5: Solve for x
    x = 417,618.41/634.85
  6. Step 6: Final answer
    x = 657.83

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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.