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Finding the Fourth Proportional to 434.61, 648.76 and 402.49

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Solution

The fourth proportional to 434.61, 648.76 and 402.49 is: 600.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.61 : 648.76 = 402.49 : x
  2. Step 2: Convert to fraction form
    434.61/648.76 = 402.49/x
  3. Step 3: Cross multiply
    434.61x = 648.76 × 402.49
  4. Step 4: Simplify right side
    434.61x = 261,119.41
  5. Step 5: Solve for x
    x = 261,119.41/434.61
  6. Step 6: Final answer
    x = 600.81

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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.