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Finding the Fourth Proportional to 641.96, 958.30 and 596.96

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Solution

The fourth proportional to 641.96, 958.30 and 596.96 is: 891.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.96 : 958.30 = 596.96 : x
  2. Step 2: Convert to fraction form
    641.96/958.30 = 596.96/x
  3. Step 3: Cross multiply
    641.96x = 958.30 × 596.96
  4. Step 4: Simplify right side
    641.96x = 572,066.77
  5. Step 5: Solve for x
    x = 572,066.77/641.96
  6. Step 6: Final answer
    x = 891.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.