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Finding the Fourth Proportional to 526.98, 726.26 and 422.41

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Solution

The fourth proportional to 526.98, 726.26 and 422.41 is: 582.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.98 : 726.26 = 422.41 : x
  2. Step 2: Convert to fraction form
    526.98/726.26 = 422.41/x
  3. Step 3: Cross multiply
    526.98x = 726.26 × 422.41
  4. Step 4: Simplify right side
    526.98x = 306,777.37
  5. Step 5: Solve for x
    x = 306,777.37/526.98
  6. Step 6: Final answer
    x = 582.15

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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.