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Finding the Fourth Proportional to 527.74, 726.62 and 448.90

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Solution

The fourth proportional to 527.74, 726.62 and 448.90 is: 618.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.74 : 726.62 = 448.90 : x
  2. Step 2: Convert to fraction form
    527.74/726.62 = 448.90/x
  3. Step 3: Cross multiply
    527.74x = 726.62 × 448.90
  4. Step 4: Simplify right side
    527.74x = 326,179.72
  5. Step 5: Solve for x
    x = 326,179.72/527.74
  6. Step 6: Final answer
    x = 618.07

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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.