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Finding the Fourth Proportional to 927.84, 1,282.08 and 692.73

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Solution

The fourth proportional to 927.84, 1,282.08 and 692.73 is: 957.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.84 : 1,282.08 = 692.73 : x
  2. Step 2: Convert to fraction form
    927.84/1,282.08 = 692.73/x
  3. Step 3: Cross multiply
    927.84x = 1,282.08 × 692.73
  4. Step 4: Simplify right side
    927.84x = 888,135.28
  5. Step 5: Solve for x
    x = 888,135.28/927.84
  6. Step 6: Final answer
    x = 957.21

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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.