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Finding the Fourth Proportional to 901.58, 1,350.87 and 316.27

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Solution

The fourth proportional to 901.58, 1,350.87 and 316.27 is: 473.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.58 : 1,350.87 = 316.27 : x
  2. Step 2: Convert to fraction form
    901.58/1,350.87 = 316.27/x
  3. Step 3: Cross multiply
    901.58x = 1,350.87 × 316.27
  4. Step 4: Simplify right side
    901.58x = 427,239.65
  5. Step 5: Solve for x
    x = 427,239.65/901.58
  6. Step 6: Final answer
    x = 473.88

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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.