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Finding the Fourth Proportional to 1,220.38, 1,683.72 and 696.30

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Solution

The fourth proportional to 1,220.38, 1,683.72 and 696.30 is: 960.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.38 : 1,683.72 = 696.30 : x
  2. Step 2: Convert to fraction form
    1,220.38/1,683.72 = 696.30/x
  3. Step 3: Cross multiply
    1,220.38x = 1,683.72 × 696.30
  4. Step 4: Simplify right side
    1,220.38x = 1,172,374.24
  5. Step 5: Solve for x
    x = 1,172,374.24/1,220.38
  6. Step 6: Final answer
    x = 960.66

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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.