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Finding the Fourth Proportional to 442.61, 660.68 and 410.48

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Solution

The fourth proportional to 442.61, 660.68 and 410.48 is: 612.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.61 : 660.68 = 410.48 : x
  2. Step 2: Convert to fraction form
    442.61/660.68 = 410.48/x
  3. Step 3: Cross multiply
    442.61x = 660.68 × 410.48
  4. Step 4: Simplify right side
    442.61x = 271,194.59
  5. Step 5: Solve for x
    x = 271,194.59/442.61
  6. Step 6: Final answer
    x = 612.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.