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Finding the Fourth Proportional to 692.41, 1,038.61 and 327.01

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Solution

The fourth proportional to 692.41, 1,038.61 and 327.01 is: 490.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.41 : 1,038.61 = 327.01 : x
  2. Step 2: Convert to fraction form
    692.41/1,038.61 = 327.01/x
  3. Step 3: Cross multiply
    692.41x = 1,038.61 × 327.01
  4. Step 4: Simplify right side
    692.41x = 339,630.66
  5. Step 5: Solve for x
    x = 339,630.66/692.41
  6. Step 6: Final answer
    x = 490.51

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Double scale
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Similar ratio
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1.5x scale

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.