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Finding the Fourth Proportional to 934.05, 1,400.76 and 780.96

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Solution

The fourth proportional to 934.05, 1,400.76 and 780.96 is: 1,171.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.05 : 1,400.76 = 780.96 : x
  2. Step 2: Convert to fraction form
    934.05/1,400.76 = 780.96/x
  3. Step 3: Cross multiply
    934.05x = 1,400.76 × 780.96
  4. Step 4: Simplify right side
    934.05x = 1,093,937.53
  5. Step 5: Solve for x
    x = 1,093,937.53/934.05
  6. Step 6: Final answer
    x = 1,171.18

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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.