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Finding the Fourth Proportional to 654.68, 981.86 and 243.74

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Solution

The fourth proportional to 654.68, 981.86 and 243.74 is: 365.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.68 : 981.86 = 243.74 : x
  2. Step 2: Convert to fraction form
    654.68/981.86 = 243.74/x
  3. Step 3: Cross multiply
    654.68x = 981.86 × 243.74
  4. Step 4: Simplify right side
    654.68x = 239,319.79
  5. Step 5: Solve for x
    x = 239,319.79/654.68
  6. Step 6: Final answer
    x = 365.55

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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.