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Finding the Fourth Proportional to 969.34, 1,337.69 and 549.78

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Solution

The fourth proportional to 969.34, 1,337.69 and 549.78 is: 758.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.34 : 1,337.69 = 549.78 : x
  2. Step 2: Convert to fraction form
    969.34/1,337.69 = 549.78/x
  3. Step 3: Cross multiply
    969.34x = 1,337.69 × 549.78
  4. Step 4: Simplify right side
    969.34x = 735,435.21
  5. Step 5: Solve for x
    x = 735,435.21/969.34
  6. Step 6: Final answer
    x = 758.70

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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.