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Finding the Fourth Proportional to 583.23, 869.92 and 549.39

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Solution

The fourth proportional to 583.23, 869.92 and 549.39 is: 819.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.23 : 869.92 = 549.39 : x
  2. Step 2: Convert to fraction form
    583.23/869.92 = 549.39/x
  3. Step 3: Cross multiply
    583.23x = 869.92 × 549.39
  4. Step 4: Simplify right side
    583.23x = 477,923.98
  5. Step 5: Solve for x
    x = 477,923.98/583.23
  6. Step 6: Final answer
    x = 819.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.