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Finding the Fourth Proportional to 598.39, 896.35 and 354.78

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Solution

The fourth proportional to 598.39, 896.35 and 354.78 is: 531.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.39 : 896.35 = 354.78 : x
  2. Step 2: Convert to fraction form
    598.39/896.35 = 354.78/x
  3. Step 3: Cross multiply
    598.39x = 896.35 × 354.78
  4. Step 4: Simplify right side
    598.39x = 318,007.05
  5. Step 5: Solve for x
    x = 318,007.05/598.39
  6. Step 6: Final answer
    x = 531.44

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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.