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Finding the Fourth Proportional to 969.87, 1,337.76 and 620.40

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Solution

The fourth proportional to 969.87, 1,337.76 and 620.40 is: 855.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.87 : 1,337.76 = 620.40 : x
  2. Step 2: Convert to fraction form
    969.87/1,337.76 = 620.40/x
  3. Step 3: Cross multiply
    969.87x = 1,337.76 × 620.40
  4. Step 4: Simplify right side
    969.87x = 829,946.30
  5. Step 5: Solve for x
    x = 829,946.30/969.87
  6. Step 6: Final answer
    x = 855.73

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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.