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Finding the Fourth Proportional to 497.52, 687.15 and 409.23

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Solution

The fourth proportional to 497.52, 687.15 and 409.23 is: 565.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.52 : 687.15 = 409.23 : x
  2. Step 2: Convert to fraction form
    497.52/687.15 = 409.23/x
  3. Step 3: Cross multiply
    497.52x = 687.15 × 409.23
  4. Step 4: Simplify right side
    497.52x = 281,202.39
  5. Step 5: Solve for x
    x = 281,202.39/497.52
  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.