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Finding the Fourth Proportional to 823.61, 1,229.47 and 700.56

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Solution

The fourth proportional to 823.61, 1,229.47 and 700.56 is: 1,045.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.61 : 1,229.47 = 700.56 : x
  2. Step 2: Convert to fraction form
    823.61/1,229.47 = 700.56/x
  3. Step 3: Cross multiply
    823.61x = 1,229.47 × 700.56
  4. Step 4: Simplify right side
    823.61x = 861,315.75
  5. Step 5: Solve for x
    x = 861,315.75/823.61
  6. Step 6: Final answer
    x = 1,045.78

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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.