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Finding the Fourth Proportional to 484.92, 723.33 and 430.23

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Solution

The fourth proportional to 484.92, 723.33 and 430.23 is: 641.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.92 : 723.33 = 430.23 : x
  2. Step 2: Convert to fraction form
    484.92/723.33 = 430.23/x
  3. Step 3: Cross multiply
    484.92x = 723.33 × 430.23
  4. Step 4: Simplify right side
    484.92x = 311,198.27
  5. Step 5: Solve for x
    x = 311,198.27/484.92
  6. Step 6: Final answer
    x = 641.75

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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.