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Finding the Fourth Proportional to 1,121.76, 1,680.81 and 573.20

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Solution

The fourth proportional to 1,121.76, 1,680.81 and 573.20 is: 858.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.76 : 1,680.81 = 573.20 : x
  2. Step 2: Convert to fraction form
    1,121.76/1,680.81 = 573.20/x
  3. Step 3: Cross multiply
    1,121.76x = 1,680.81 × 573.20
  4. Step 4: Simplify right side
    1,121.76x = 963,431.89
  5. Step 5: Solve for x
    x = 963,431.89/1,121.76
  6. Step 6: Final answer
    x = 858.86

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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.