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Finding the Fourth Proportional to 684.09, 1,024.92 and 521.28

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Solution

The fourth proportional to 684.09, 1,024.92 and 521.28 is: 780.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.09 : 1,024.92 = 521.28 : x
  2. Step 2: Convert to fraction form
    684.09/1,024.92 = 521.28/x
  3. Step 3: Cross multiply
    684.09x = 1,024.92 × 521.28
  4. Step 4: Simplify right side
    684.09x = 534,270.30
  5. Step 5: Solve for x
    x = 534,270.30/684.09
  6. Step 6: Final answer
    x = 780.99

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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.