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Finding the Fourth Proportional to 523.54, 724.33 and 514.34

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Solution

The fourth proportional to 523.54, 724.33 and 514.34 is: 711.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.54 : 724.33 = 514.34 : x
  2. Step 2: Convert to fraction form
    523.54/724.33 = 514.34/x
  3. Step 3: Cross multiply
    523.54x = 724.33 × 514.34
  4. Step 4: Simplify right side
    523.54x = 372,551.89
  5. Step 5: Solve for x
    x = 372,551.89/523.54
  6. Step 6: Final answer
    x = 711.60

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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.