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Finding the Fourth Proportional to 634.22, 875.46 and 476.90

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Solution

The fourth proportional to 634.22, 875.46 and 476.90 is: 658.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.22 : 875.46 = 476.90 : x
  2. Step 2: Convert to fraction form
    634.22/875.46 = 476.90/x
  3. Step 3: Cross multiply
    634.22x = 875.46 × 476.90
  4. Step 4: Simplify right side
    634.22x = 417,506.87
  5. Step 5: Solve for x
    x = 417,506.87/634.22
  6. Step 6: Final answer
    x = 658.30

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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.