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Finding the Fourth Proportional to 1,157.38, 1,595.73 and 920.77

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Solution

The fourth proportional to 1,157.38, 1,595.73 and 920.77 is: 1,269.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.38 : 1,595.73 = 920.77 : x
  2. Step 2: Convert to fraction form
    1,157.38/1,595.73 = 920.77/x
  3. Step 3: Cross multiply
    1,157.38x = 1,595.73 × 920.77
  4. Step 4: Simplify right side
    1,157.38x = 1,469,300.31
  5. Step 5: Solve for x
    x = 1,469,300.31/1,157.38
  6. Step 6: Final answer
    x = 1,269.51

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