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Finding the Fourth Proportional to 527.40, 726.95 and 422.15

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Solution

The fourth proportional to 527.40, 726.95 and 422.15 is: 581.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.40 : 726.95 = 422.15 : x
  2. Step 2: Convert to fraction form
    527.40/726.95 = 422.15/x
  3. Step 3: Cross multiply
    527.40x = 726.95 × 422.15
  4. Step 4: Simplify right side
    527.40x = 306,879.36
  5. Step 5: Solve for x
    x = 306,879.36/527.40
  6. Step 6: Final answer
    x = 581.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.