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Finding the Fourth Proportional to 430.43, 642.18 and 409.82

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Solution

The fourth proportional to 430.43, 642.18 and 409.82 is: 611.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.43 : 642.18 = 409.82 : x
  2. Step 2: Convert to fraction form
    430.43/642.18 = 409.82/x
  3. Step 3: Cross multiply
    430.43x = 642.18 × 409.82
  4. Step 4: Simplify right side
    430.43x = 263,176.16
  5. Step 5: Solve for x
    x = 263,176.16/430.43
  6. Step 6: Final answer
    x = 611.43

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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.