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Finding the Fourth Proportional to 663.60, 995.28 and 293.57

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Solution

The fourth proportional to 663.60, 995.28 and 293.57 is: 440.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.60 : 995.28 = 293.57 : x
  2. Step 2: Convert to fraction form
    663.60/995.28 = 293.57/x
  3. Step 3: Cross multiply
    663.60x = 995.28 × 293.57
  4. Step 4: Simplify right side
    663.60x = 292,184.35
  5. Step 5: Solve for x
    x = 292,184.35/663.60
  6. Step 6: Final answer
    x = 440.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.