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Finding the Fourth Proportional to 684.72, 1,025.26 and 521.91

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Solution

The fourth proportional to 684.72, 1,025.26 and 521.91 is: 781.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.72 : 1,025.26 = 521.91 : x
  2. Step 2: Convert to fraction form
    684.72/1,025.26 = 521.91/x
  3. Step 3: Cross multiply
    684.72x = 1,025.26 × 521.91
  4. Step 4: Simplify right side
    684.72x = 535,092.14
  5. Step 5: Solve for x
    x = 535,092.14/684.72
  6. Step 6: Final answer
    x = 781.48

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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.