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Finding the Fourth Proportional to 514.40, 767.97 and 423.27

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Solution

The fourth proportional to 514.40, 767.97 and 423.27 is: 631.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.40 : 767.97 = 423.27 : x
  2. Step 2: Convert to fraction form
    514.40/767.97 = 423.27/x
  3. Step 3: Cross multiply
    514.40x = 767.97 × 423.27
  4. Step 4: Simplify right side
    514.40x = 325,058.66
  5. Step 5: Solve for x
    x = 325,058.66/514.40
  6. Step 6: Final answer
    x = 631.92

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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.