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Finding the Fourth Proportional to 523.70, 723.19 and 337.51

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Solution

The fourth proportional to 523.70, 723.19 and 337.51 is: 466.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.70 : 723.19 = 337.51 : x
  2. Step 2: Convert to fraction form
    523.70/723.19 = 337.51/x
  3. Step 3: Cross multiply
    523.70x = 723.19 × 337.51
  4. Step 4: Simplify right side
    523.70x = 244,081.57
  5. Step 5: Solve for x
    x = 244,081.57/523.70
  6. Step 6: Final answer
    x = 466.07

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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.