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Finding the Fourth Proportional to 1,229.78, 1,697.36 and 1,190.77

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Solution

The fourth proportional to 1,229.78, 1,697.36 and 1,190.77 is: 1,643.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.78 : 1,697.36 = 1,190.77 : x
  2. Step 2: Convert to fraction form
    1,229.78/1,697.36 = 1,190.77/x
  3. Step 3: Cross multiply
    1,229.78x = 1,697.36 × 1,190.77
  4. Step 4: Simplify right side
    1,229.78x = 2,021,155.17
  5. Step 5: Solve for x
    x = 2,021,155.17/1,229.78
  6. Step 6: Final answer
    x = 1,643.51

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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.