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Finding the Fourth Proportional to 1,227.10, 1,840.74 and 610.96

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Solution

The fourth proportional to 1,227.10, 1,840.74 and 610.96 is: 916.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.10 : 1,840.74 = 610.96 : x
  2. Step 2: Convert to fraction form
    1,227.10/1,840.74 = 610.96/x
  3. Step 3: Cross multiply
    1,227.10x = 1,840.74 × 610.96
  4. Step 4: Simplify right side
    1,227.10x = 1,124,618.51
  5. Step 5: Solve for x
    x = 1,124,618.51/1,227.10
  6. Step 6: Final answer
    x = 916.48

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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.