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Finding the Fourth Proportional to 685.68, 1,029.33 and 651.66

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Solution

The fourth proportional to 685.68, 1,029.33 and 651.66 is: 978.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.68 : 1,029.33 = 651.66 : x
  2. Step 2: Convert to fraction form
    685.68/1,029.33 = 651.66/x
  3. Step 3: Cross multiply
    685.68x = 1,029.33 × 651.66
  4. Step 4: Simplify right side
    685.68x = 670,773.19
  5. Step 5: Solve for x
    x = 670,773.19/685.68
  6. Step 6: Final answer
    x = 978.26

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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.