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Finding the Fourth Proportional to 1,508.96, 2,261.40 and 777

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Solution

The fourth proportional to 1,508.96, 2,261.40 and 777 is: 1,164.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.96 : 2,261.40 = 777 : x
  2. Step 2: Convert to fraction form
    1,508.96/2,261.40 = 777/x
  3. Step 3: Cross multiply
    1,508.96x = 2,261.40 × 777
  4. Step 4: Simplify right side
    1,508.96x = 1,757,107.80
  5. Step 5: Solve for x
    x = 1,757,107.80/1,508.96
  6. Step 6: Final answer
    x = 1,164.45

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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.