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Finding the Fourth Proportional to 589.39, 879.28 and 541.78

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Solution

The fourth proportional to 589.39, 879.28 and 541.78 is: 808.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.39 : 879.28 = 541.78 : x
  2. Step 2: Convert to fraction form
    589.39/879.28 = 541.78/x
  3. Step 3: Cross multiply
    589.39x = 879.28 × 541.78
  4. Step 4: Simplify right side
    589.39x = 476,372.77
  5. Step 5: Solve for x
    x = 476,372.77/589.39
  6. Step 6: Final answer
    x = 808.25

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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.