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Finding the Fourth Proportional to 443.97, 616.37 and 430.61

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Solution

The fourth proportional to 443.97, 616.37 and 430.61 is: 597.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.97 : 616.37 = 430.61 : x
  2. Step 2: Convert to fraction form
    443.97/616.37 = 430.61/x
  3. Step 3: Cross multiply
    443.97x = 616.37 × 430.61
  4. Step 4: Simplify right side
    443.97x = 265,409.85
  5. Step 5: Solve for x
    x = 265,409.85/443.97
  6. Step 6: Final answer
    x = 597.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.