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Finding the Fourth Proportional to 920.31, 1,380.01 and 393.14

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Solution

The fourth proportional to 920.31, 1,380.01 and 393.14 is: 589.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.31 : 1,380.01 = 393.14 : x
  2. Step 2: Convert to fraction form
    920.31/1,380.01 = 393.14/x
  3. Step 3: Cross multiply
    920.31x = 1,380.01 × 393.14
  4. Step 4: Simplify right side
    920.31x = 542,537.56
  5. Step 5: Solve for x
    x = 542,537.56/920.31
  6. Step 6: Final answer
    x = 589.51

Related Problems

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.