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Finding the Fourth Proportional to 1,200.80, 1,801.87 and 653.02

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Solution

The fourth proportional to 1,200.80, 1,801.87 and 653.02 is: 979.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.80 : 1,801.87 = 653.02 : x
  2. Step 2: Convert to fraction form
    1,200.80/1,801.87 = 653.02/x
  3. Step 3: Cross multiply
    1,200.80x = 1,801.87 × 653.02
  4. Step 4: Simplify right side
    1,200.80x = 1,176,660.67
  5. Step 5: Solve for x
    x = 1,176,660.67/1,200.80
  6. Step 6: Final answer
    x = 979.90

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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.