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Finding the Fourth Proportional to 1,121.37, 1,680.78 and 572.39

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Solution

The fourth proportional to 1,121.37, 1,680.78 and 572.39 is: 857.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.37 : 1,680.78 = 572.39 : x
  2. Step 2: Convert to fraction form
    1,121.37/1,680.78 = 572.39/x
  3. Step 3: Cross multiply
    1,121.37x = 1,680.78 × 572.39
  4. Step 4: Simplify right side
    1,121.37x = 962,065.87
  5. Step 5: Solve for x
    x = 962,065.87/1,121.37
  6. Step 6: Final answer
    x = 857.94

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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.