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Finding the Fourth Proportional to 534.78, 800.64 and 398.46

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Solution

The fourth proportional to 534.78, 800.64 and 398.46 is: 596.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.78 : 800.64 = 398.46 : x
  2. Step 2: Convert to fraction form
    534.78/800.64 = 398.46/x
  3. Step 3: Cross multiply
    534.78x = 800.64 × 398.46
  4. Step 4: Simplify right side
    534.78x = 319,023.01
  5. Step 5: Solve for x
    x = 319,023.01/534.78
  6. Step 6: Final answer
    x = 596.55

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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.