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Finding the Fourth Proportional to 896.75, 1,345.67 and 383.75

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Solution

The fourth proportional to 896.75, 1,345.67 and 383.75 is: 575.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.75 : 1,345.67 = 383.75 : x
  2. Step 2: Convert to fraction form
    896.75/1,345.67 = 383.75/x
  3. Step 3: Cross multiply
    896.75x = 1,345.67 × 383.75
  4. Step 4: Simplify right side
    896.75x = 516,398.94
  5. Step 5: Solve for x
    x = 516,398.94/896.75
  6. Step 6: Final answer
    x = 575.86

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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.