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Finding the Fourth Proportional to 525.87, 726.27 and 409.25

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Solution

The fourth proportional to 525.87, 726.27 and 409.25 is: 565.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.87 : 726.27 = 409.25 : x
  2. Step 2: Convert to fraction form
    525.87/726.27 = 409.25/x
  3. Step 3: Cross multiply
    525.87x = 726.27 × 409.25
  4. Step 4: Simplify right side
    525.87x = 297,226.00
  5. Step 5: Solve for x
    x = 297,226.00/525.87
  6. Step 6: Final answer
    x = 565.21

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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.