Home / 1,116.87-1,677.14-686.76

Finding the Fourth Proportional to 1,116.87, 1,677.14 and 686.76

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Solution

The fourth proportional to 1,116.87, 1,677.14 and 686.76 is: 1,031.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.87 : 1,677.14 = 686.76 : x
  2. Step 2: Convert to fraction form
    1,116.87/1,677.14 = 686.76/x
  3. Step 3: Cross multiply
    1,116.87x = 1,677.14 × 686.76
  4. Step 4: Simplify right side
    1,116.87x = 1,151,789.23
  5. Step 5: Solve for x
    x = 1,151,789.23/1,116.87
  6. Step 6: Final answer
    x = 1,031.27

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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.