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Finding the Fourth Proportional to 685.94, 1,029.31 and 412.56

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Solution

The fourth proportional to 685.94, 1,029.31 and 412.56 is: 619.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.94 : 1,029.31 = 412.56 : x
  2. Step 2: Convert to fraction form
    685.94/1,029.31 = 412.56/x
  3. Step 3: Cross multiply
    685.94x = 1,029.31 × 412.56
  4. Step 4: Simplify right side
    685.94x = 424,651.10
  5. Step 5: Solve for x
    x = 424,651.10/685.94
  6. Step 6: Final answer
    x = 619.08

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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.