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Finding the Fourth Proportional to 430.42, 641.92 and 408.95

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Solution

The fourth proportional to 430.42, 641.92 and 408.95 is: 609.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.42 : 641.92 = 408.95 : x
  2. Step 2: Convert to fraction form
    430.42/641.92 = 408.95/x
  3. Step 3: Cross multiply
    430.42x = 641.92 × 408.95
  4. Step 4: Simplify right side
    430.42x = 262,513.18
  5. Step 5: Solve for x
    x = 262,513.18/430.42
  6. Step 6: Final answer
    x = 609.90

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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.