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Finding the Fourth Proportional to 634.34, 869.80 and 571.92

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Solution

The fourth proportional to 634.34, 869.80 and 571.92 is: 784.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.34 : 869.80 = 571.92 : x
  2. Step 2: Convert to fraction form
    634.34/869.80 = 571.92/x
  3. Step 3: Cross multiply
    634.34x = 869.80 × 571.92
  4. Step 4: Simplify right side
    634.34x = 497,456.02
  5. Step 5: Solve for x
    x = 497,456.02/634.34
  6. Step 6: Final answer
    x = 784.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.