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Finding the Fourth Proportional to 1,082.09, 1,623.14 and 388.73

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Solution

The fourth proportional to 1,082.09, 1,623.14 and 388.73 is: 583.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.09 : 1,623.14 = 388.73 : x
  2. Step 2: Convert to fraction form
    1,082.09/1,623.14 = 388.73/x
  3. Step 3: Cross multiply
    1,082.09x = 1,623.14 × 388.73
  4. Step 4: Simplify right side
    1,082.09x = 630,963.21
  5. Step 5: Solve for x
    x = 630,963.21/1,082.09
  6. Step 6: Final answer
    x = 583.10

Related Problems

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Half scale
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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.