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Finding the Fourth Proportional to 897.11, 1,344.85 and 319.85

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Solution

The fourth proportional to 897.11, 1,344.85 and 319.85 is: 479.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.11 : 1,344.85 = 319.85 : x
  2. Step 2: Convert to fraction form
    897.11/1,344.85 = 319.85/x
  3. Step 3: Cross multiply
    897.11x = 1,344.85 × 319.85
  4. Step 4: Simplify right side
    897.11x = 430,150.27
  5. Step 5: Solve for x
    x = 430,150.27/897.11
  6. Step 6: Final answer
    x = 479.48

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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.