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Finding the Fourth Proportional to 920.57, 1,380.24 and 596.16

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Solution

The fourth proportional to 920.57, 1,380.24 and 596.16 is: 893.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.57 : 1,380.24 = 596.16 : x
  2. Step 2: Convert to fraction form
    920.57/1,380.24 = 596.16/x
  3. Step 3: Cross multiply
    920.57x = 1,380.24 × 596.16
  4. Step 4: Simplify right side
    920.57x = 822,843.88
  5. Step 5: Solve for x
    x = 822,843.88/920.57
  6. Step 6: Final answer
    x = 893.85

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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.