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Finding the Fourth Proportional to 1,220.78, 1,684.72 and 742.24

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Solution

The fourth proportional to 1,220.78, 1,684.72 and 742.24 is: 1,024.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.78 : 1,684.72 = 742.24 : x
  2. Step 2: Convert to fraction form
    1,220.78/1,684.72 = 742.24/x
  3. Step 3: Cross multiply
    1,220.78x = 1,684.72 × 742.24
  4. Step 4: Simplify right side
    1,220.78x = 1,250,466.57
  5. Step 5: Solve for x
    x = 1,250,466.57/1,220.78
  6. Step 6: Final answer
    x = 1,024.32

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Half 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.