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Finding the Fourth Proportional to 459.92, 632.34 and 409.66

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Solution

The fourth proportional to 459.92, 632.34 and 409.66 is: 563.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.92 : 632.34 = 409.66 : x
  2. Step 2: Convert to fraction form
    459.92/632.34 = 409.66/x
  3. Step 3: Cross multiply
    459.92x = 632.34 × 409.66
  4. Step 4: Simplify right side
    459.92x = 259,044.40
  5. Step 5: Solve for x
    x = 259,044.40/459.92
  6. Step 6: Final answer
    x = 563.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.