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Finding the Fourth Proportional to 532.39, 799.13 and 378.49

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Solution

The fourth proportional to 532.39, 799.13 and 378.49 is: 568.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.39 : 799.13 = 378.49 : x
  2. Step 2: Convert to fraction form
    532.39/799.13 = 378.49/x
  3. Step 3: Cross multiply
    532.39x = 799.13 × 378.49
  4. Step 4: Simplify right side
    532.39x = 302,460.82
  5. Step 5: Solve for x
    x = 302,460.82/532.39
  6. Step 6: Final answer
    x = 568.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.