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Finding the Fourth Proportional to 968.93, 1,336.90 and 549.19

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Solution

The fourth proportional to 968.93, 1,336.90 and 549.19 is: 757.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.93 : 1,336.90 = 549.19 : x
  2. Step 2: Convert to fraction form
    968.93/1,336.90 = 549.19/x
  3. Step 3: Cross multiply
    968.93x = 1,336.90 × 549.19
  4. Step 4: Simplify right side
    968.93x = 734,205.43
  5. Step 5: Solve for x
    x = 734,205.43/968.93
  6. Step 6: Final answer
    x = 757.75

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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.