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Finding the Fourth Proportional to 1,577.54, 2,177.01 and 914.78

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Solution

The fourth proportional to 1,577.54, 2,177.01 and 914.78 is: 1,262.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.54 : 2,177.01 = 914.78 : x
  2. Step 2: Convert to fraction form
    1,577.54/2,177.01 = 914.78/x
  3. Step 3: Cross multiply
    1,577.54x = 2,177.01 × 914.78
  4. Step 4: Simplify right side
    1,577.54x = 1,991,469.75
  5. Step 5: Solve for x
    x = 1,991,469.75/1,577.54
  6. Step 6: Final answer
    x = 1,262.39

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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.