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Finding the Fourth Proportional to 434.35, 649.04 and 378.76

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Solution

The fourth proportional to 434.35, 649.04 and 378.76 is: 565.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.35 : 649.04 = 378.76 : x
  2. Step 2: Convert to fraction form
    434.35/649.04 = 378.76/x
  3. Step 3: Cross multiply
    434.35x = 649.04 × 378.76
  4. Step 4: Simplify right side
    434.35x = 245,830.39
  5. Step 5: Solve for x
    x = 245,830.39/434.35
  6. Step 6: Final answer
    x = 565.97

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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.