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Finding the Fourth Proportional to 839.30, 1,256.51 and 700.79

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Solution

The fourth proportional to 839.30, 1,256.51 and 700.79 is: 1,049.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.30 : 1,256.51 = 700.79 : x
  2. Step 2: Convert to fraction form
    839.30/1,256.51 = 700.79/x
  3. Step 3: Cross multiply
    839.30x = 1,256.51 × 700.79
  4. Step 4: Simplify right side
    839.30x = 880,545.11
  5. Step 5: Solve for x
    x = 880,545.11/839.30
  6. Step 6: Final answer
    x = 1,049.15

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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.