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Finding the Fourth Proportional to 685.26, 1,025.46 and 521.64

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Solution

The fourth proportional to 685.26, 1,025.46 and 521.64 is: 780.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.26 : 1,025.46 = 521.64 : x
  2. Step 2: Convert to fraction form
    685.26/1,025.46 = 521.64/x
  3. Step 3: Cross multiply
    685.26x = 1,025.46 × 521.64
  4. Step 4: Simplify right side
    685.26x = 534,920.95
  5. Step 5: Solve for x
    x = 534,920.95/685.26
  6. Step 6: Final answer
    x = 780.61

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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.