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Finding the Fourth Proportional to 969.49, 1,337.87 and 549.83

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Solution

The fourth proportional to 969.49, 1,337.87 and 549.83 is: 758.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.49 : 1,337.87 = 549.83 : x
  2. Step 2: Convert to fraction form
    969.49/1,337.87 = 549.83/x
  3. Step 3: Cross multiply
    969.49x = 1,337.87 × 549.83
  4. Step 4: Simplify right side
    969.49x = 735,601.06
  5. Step 5: Solve for x
    x = 735,601.06/969.49
  6. Step 6: Final answer
    x = 758.75

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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.