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Finding the Fourth Proportional to 902.87, 1,245.24 and 692.78

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Solution

The fourth proportional to 902.87, 1,245.24 and 692.78 is: 955.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.87 : 1,245.24 = 692.78 : x
  2. Step 2: Convert to fraction form
    902.87/1,245.24 = 692.78/x
  3. Step 3: Cross multiply
    902.87x = 1,245.24 × 692.78
  4. Step 4: Simplify right side
    902.87x = 862,671.14
  5. Step 5: Solve for x
    x = 862,671.14/902.87
  6. Step 6: Final answer
    x = 955.48

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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.