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Finding the Fourth Proportional to 947.85, 1,421.78 and 254.49

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Solution

The fourth proportional to 947.85, 1,421.78 and 254.49 is: 381.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.85 : 1,421.78 = 254.49 : x
  2. Step 2: Convert to fraction form
    947.85/1,421.78 = 254.49/x
  3. Step 3: Cross multiply
    947.85x = 1,421.78 × 254.49
  4. Step 4: Simplify right side
    947.85x = 361,827.52
  5. Step 5: Solve for x
    x = 361,827.52/947.85
  6. Step 6: Final answer
    x = 381.74

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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.