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Finding the Fourth Proportional to 577.32, 861.78 and 534.49

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Solution

The fourth proportional to 577.32, 861.78 and 534.49 is: 797.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.32 : 861.78 = 534.49 : x
  2. Step 2: Convert to fraction form
    577.32/861.78 = 534.49/x
  3. Step 3: Cross multiply
    577.32x = 861.78 × 534.49
  4. Step 4: Simplify right side
    577.32x = 460,612.79
  5. Step 5: Solve for x
    x = 460,612.79/577.32
  6. Step 6: Final answer
    x = 797.85

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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.