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Finding the Fourth Proportional to 1,138.76, 1,706.93 and 813.14

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Solution

The fourth proportional to 1,138.76, 1,706.93 and 813.14 is: 1,218.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.76 : 1,706.93 = 813.14 : x
  2. Step 2: Convert to fraction form
    1,138.76/1,706.93 = 813.14/x
  3. Step 3: Cross multiply
    1,138.76x = 1,706.93 × 813.14
  4. Step 4: Simplify right side
    1,138.76x = 1,387,973.06
  5. Step 5: Solve for x
    x = 1,387,973.06/1,138.76
  6. Step 6: Final answer
    x = 1,218.85

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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.