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Finding the Fourth Proportional to 785.91, 1,178.86 and 401.43

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Solution

The fourth proportional to 785.91, 1,178.86 and 401.43 is: 602.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.91 : 1,178.86 = 401.43 : x
  2. Step 2: Convert to fraction form
    785.91/1,178.86 = 401.43/x
  3. Step 3: Cross multiply
    785.91x = 1,178.86 × 401.43
  4. Step 4: Simplify right side
    785.91x = 473,229.77
  5. Step 5: Solve for x
    x = 473,229.77/785.91
  6. Step 6: Final answer
    x = 602.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.