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Finding the Fourth Proportional to 934.12, 1,406.05 and 793.18

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Solution

The fourth proportional to 934.12, 1,406.05 and 793.18 is: 1,193.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.12 : 1,406.05 = 793.18 : x
  2. Step 2: Convert to fraction form
    934.12/1,406.05 = 793.18/x
  3. Step 3: Cross multiply
    934.12x = 1,406.05 × 793.18
  4. Step 4: Simplify right side
    934.12x = 1,115,250.74
  5. Step 5: Solve for x
    x = 1,115,250.74/934.12
  6. Step 6: Final answer
    x = 1,193.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.