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Finding the Fourth Proportional to 1,121.95, 1,680.76 and 545.23

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Solution

The fourth proportional to 1,121.95, 1,680.76 and 545.23 is: 816.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.95 : 1,680.76 = 545.23 : x
  2. Step 2: Convert to fraction form
    1,121.95/1,680.76 = 545.23/x
  3. Step 3: Cross multiply
    1,121.95x = 1,680.76 × 545.23
  4. Step 4: Simplify right side
    1,121.95x = 916,389.64
  5. Step 5: Solve for x
    x = 916,389.64/1,121.95
  6. Step 6: Final answer
    x = 816.79

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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.