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Finding the Fourth Proportional to 1,245.41, 1,718.62 and 734.38

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Solution

The fourth proportional to 1,245.41, 1,718.62 and 734.38 is: 1,013.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.41 : 1,718.62 = 734.38 : x
  2. Step 2: Convert to fraction form
    1,245.41/1,718.62 = 734.38/x
  3. Step 3: Cross multiply
    1,245.41x = 1,718.62 × 734.38
  4. Step 4: Simplify right side
    1,245.41x = 1,262,123.69
  5. Step 5: Solve for x
    x = 1,262,123.69/1,245.41
  6. Step 6: Final answer
    x = 1,013.42

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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.