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Finding the Fourth Proportional to 685.22, 1,024.50 and 583.70

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Solution

The fourth proportional to 685.22, 1,024.50 and 583.70 is: 872.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.22 : 1,024.50 = 583.70 : x
  2. Step 2: Convert to fraction form
    685.22/1,024.50 = 583.70/x
  3. Step 3: Cross multiply
    685.22x = 1,024.50 × 583.70
  4. Step 4: Simplify right side
    685.22x = 598,000.65
  5. Step 5: Solve for x
    x = 598,000.65/685.22
  6. Step 6: Final answer
    x = 872.71

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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.