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Finding the Fourth Proportional to 967.13, 1,449.78 and 317.51

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Solution

The fourth proportional to 967.13, 1,449.78 and 317.51 is: 475.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.13 : 1,449.78 = 317.51 : x
  2. Step 2: Convert to fraction form
    967.13/1,449.78 = 317.51/x
  3. Step 3: Cross multiply
    967.13x = 1,449.78 × 317.51
  4. Step 4: Simplify right side
    967.13x = 460,319.65
  5. Step 5: Solve for x
    x = 460,319.65/967.13
  6. Step 6: Final answer
    x = 475.96

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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.