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Finding the Fourth Proportional to 896.39, 1,344.82 and 376.77

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Solution

The fourth proportional to 896.39, 1,344.82 and 376.77 is: 565.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.39 : 1,344.82 = 376.77 : x
  2. Step 2: Convert to fraction form
    896.39/1,344.82 = 376.77/x
  3. Step 3: Cross multiply
    896.39x = 1,344.82 × 376.77
  4. Step 4: Simplify right side
    896.39x = 506,687.83
  5. Step 5: Solve for x
    x = 506,687.83/896.39
  6. Step 6: Final answer
    x = 565.25

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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.