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Finding the Fourth Proportional to 685.56, 1,029.24 and 412.16

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Solution

The fourth proportional to 685.56, 1,029.24 and 412.16 is: 618.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.56 : 1,029.24 = 412.16 : x
  2. Step 2: Convert to fraction form
    685.56/1,029.24 = 412.16/x
  3. Step 3: Cross multiply
    685.56x = 1,029.24 × 412.16
  4. Step 4: Simplify right side
    685.56x = 424,211.56
  5. Step 5: Solve for x
    x = 424,211.56/685.56
  6. Step 6: Final answer
    x = 618.78

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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.