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Finding the Fourth Proportional to 1,121.79, 1,680.57 and 774.69

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Solution

The fourth proportional to 1,121.79, 1,680.57 and 774.69 is: 1,160.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.79 : 1,680.57 = 774.69 : x
  2. Step 2: Convert to fraction form
    1,121.79/1,680.57 = 774.69/x
  3. Step 3: Cross multiply
    1,121.79x = 1,680.57 × 774.69
  4. Step 4: Simplify right side
    1,121.79x = 1,301,920.77
  5. Step 5: Solve for x
    x = 1,301,920.77/1,121.79
  6. Step 6: Final answer
    x = 1,160.57

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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.