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Finding the Fourth Proportional to 525.80, 726.18 and 409.18

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Solution

The fourth proportional to 525.80, 726.18 and 409.18 is: 565.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.80 : 726.18 = 409.18 : x
  2. Step 2: Convert to fraction form
    525.80/726.18 = 409.18/x
  3. Step 3: Cross multiply
    525.80x = 726.18 × 409.18
  4. Step 4: Simplify right side
    525.80x = 297,132.66
  5. Step 5: Solve for x
    x = 297,132.66/525.80
  6. Step 6: Final answer
    x = 565.11

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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.