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Finding the Fourth Proportional to 1,226.67, 1,692.27 and 876.75

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Solution

The fourth proportional to 1,226.67, 1,692.27 and 876.75 is: 1,209.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.67 : 1,692.27 = 876.75 : x
  2. Step 2: Convert to fraction form
    1,226.67/1,692.27 = 876.75/x
  3. Step 3: Cross multiply
    1,226.67x = 1,692.27 × 876.75
  4. Step 4: Simplify right side
    1,226.67x = 1,483,697.72
  5. Step 5: Solve for x
    x = 1,483,697.72/1,226.67
  6. Step 6: Final answer
    x = 1,209.53

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Half scale
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Double scale
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1.5x scale

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.