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Finding the Fourth Proportional to 632.16, 875.77 and 617.04

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Solution

The fourth proportional to 632.16, 875.77 and 617.04 is: 854.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.16 : 875.77 = 617.04 : x
  2. Step 2: Convert to fraction form
    632.16/875.77 = 617.04/x
  3. Step 3: Cross multiply
    632.16x = 875.77 × 617.04
  4. Step 4: Simplify right side
    632.16x = 540,383.58
  5. Step 5: Solve for x
    x = 540,383.58/632.16
  6. Step 6: Final answer
    x = 854.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.