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Finding the Fourth Proportional to 434.09, 653.85 and 395.80

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Solution

The fourth proportional to 434.09, 653.85 and 395.80 is: 596.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.09 : 653.85 = 395.80 : x
  2. Step 2: Convert to fraction form
    434.09/653.85 = 395.80/x
  3. Step 3: Cross multiply
    434.09x = 653.85 × 395.80
  4. Step 4: Simplify right side
    434.09x = 258,793.83
  5. Step 5: Solve for x
    x = 258,793.83/434.09
  6. Step 6: Final answer
    x = 596.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.