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Finding the Fourth Proportional to 968.92, 1,337.12 and 549.26

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Solution

The fourth proportional to 968.92, 1,337.12 and 549.26 is: 757.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.92 : 1,337.12 = 549.26 : x
  2. Step 2: Convert to fraction form
    968.92/1,337.12 = 549.26/x
  3. Step 3: Cross multiply
    968.92x = 1,337.12 × 549.26
  4. Step 4: Simplify right side
    968.92x = 734,430.25
  5. Step 5: Solve for x
    x = 734,430.25/968.92
  6. Step 6: Final answer
    x = 757.99

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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.