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Finding the Fourth Proportional to 1,365.57, 2,047.83 and 487.74

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Solution

The fourth proportional to 1,365.57, 2,047.83 and 487.74 is: 731.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.57 : 2,047.83 = 487.74 : x
  2. Step 2: Convert to fraction form
    1,365.57/2,047.83 = 487.74/x
  3. Step 3: Cross multiply
    1,365.57x = 2,047.83 × 487.74
  4. Step 4: Simplify right side
    1,365.57x = 998,808.60
  5. Step 5: Solve for x
    x = 998,808.60/1,365.57
  6. Step 6: Final answer
    x = 731.42

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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.