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Finding the Fourth Proportional to 1,226.87, 1,692.42 and 777.93

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Solution

The fourth proportional to 1,226.87, 1,692.42 and 777.93 is: 1,073.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.87 : 1,692.42 = 777.93 : x
  2. Step 2: Convert to fraction form
    1,226.87/1,692.42 = 777.93/x
  3. Step 3: Cross multiply
    1,226.87x = 1,692.42 × 777.93
  4. Step 4: Simplify right side
    1,226.87x = 1,316,581.97
  5. Step 5: Solve for x
    x = 1,316,581.97/1,226.87
  6. Step 6: Final answer
    x = 1,073.12

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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.