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Finding the Fourth Proportional to 969.38, 1,337.76 and 549.74

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Solution

The fourth proportional to 969.38, 1,337.76 and 549.74 is: 758.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.38 : 1,337.76 = 549.74 : x
  2. Step 2: Convert to fraction form
    969.38/1,337.76 = 549.74/x
  3. Step 3: Cross multiply
    969.38x = 1,337.76 × 549.74
  4. Step 4: Simplify right side
    969.38x = 735,420.18
  5. Step 5: Solve for x
    x = 735,420.18/969.38
  6. Step 6: Final answer
    x = 758.65

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1.5x scale

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.