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Finding the Fourth Proportional to 517.40, 712.68 and 423.80

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Solution

The fourth proportional to 517.40, 712.68 and 423.80 is: 583.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.40 : 712.68 = 423.80 : x
  2. Step 2: Convert to fraction form
    517.40/712.68 = 423.80/x
  3. Step 3: Cross multiply
    517.40x = 712.68 × 423.80
  4. Step 4: Simplify right side
    517.40x = 302,033.78
  5. Step 5: Solve for x
    x = 302,033.78/517.40
  6. Step 6: Final answer
    x = 583.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.