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Finding the Fourth Proportional to 1,049.50, 1,448.26 and 577.40

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Solution

The fourth proportional to 1,049.50, 1,448.26 and 577.40 is: 796.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.50 : 1,448.26 = 577.40 : x
  2. Step 2: Convert to fraction form
    1,049.50/1,448.26 = 577.40/x
  3. Step 3: Cross multiply
    1,049.50x = 1,448.26 × 577.40
  4. Step 4: Simplify right side
    1,049.50x = 836,225.32
  5. Step 5: Solve for x
    x = 836,225.32/1,049.50
  6. Step 6: Final answer
    x = 796.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.