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Finding the Fourth Proportional to 1,138.65, 1,707.88 and 316.87

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Solution

The fourth proportional to 1,138.65, 1,707.88 and 316.87 is: 475.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.65 : 1,707.88 = 316.87 : x
  2. Step 2: Convert to fraction form
    1,138.65/1,707.88 = 316.87/x
  3. Step 3: Cross multiply
    1,138.65x = 1,707.88 × 316.87
  4. Step 4: Simplify right side
    1,138.65x = 541,174.35
  5. Step 5: Solve for x
    x = 541,174.35/1,138.65
  6. Step 6: Final answer
    x = 475.28

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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.