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Finding the Fourth Proportional to 1,200.40, 1,801.64 and 584.80

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Solution

The fourth proportional to 1,200.40, 1,801.64 and 584.80 is: 877.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.40 : 1,801.64 = 584.80 : x
  2. Step 2: Convert to fraction form
    1,200.40/1,801.64 = 584.80/x
  3. Step 3: Cross multiply
    1,200.40x = 1,801.64 × 584.80
  4. Step 4: Simplify right side
    1,200.40x = 1,053,599.07
  5. Step 5: Solve for x
    x = 1,053,599.07/1,200.40
  6. Step 6: Final answer
    x = 877.71

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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.