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Finding the Fourth Proportional to 968.74, 1,337.01 and 549.14

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Solution

The fourth proportional to 968.74, 1,337.01 and 549.14 is: 757.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.74 : 1,337.01 = 549.14 : x
  2. Step 2: Convert to fraction form
    968.74/1,337.01 = 549.14/x
  3. Step 3: Cross multiply
    968.74x = 1,337.01 × 549.14
  4. Step 4: Simplify right side
    968.74x = 734,196.93
  5. Step 5: Solve for x
    x = 734,196.93/968.74
  6. Step 6: Final answer
    x = 757.89

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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.