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Finding the Fourth Proportional to 969.88, 1,460.49 and 697.85

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Solution

The fourth proportional to 969.88, 1,460.49 and 697.85 is: 1,050.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.88 : 1,460.49 = 697.85 : x
  2. Step 2: Convert to fraction form
    969.88/1,460.49 = 697.85/x
  3. Step 3: Cross multiply
    969.88x = 1,460.49 × 697.85
  4. Step 4: Simplify right side
    969.88x = 1,019,206.60
  5. Step 5: Solve for x
    x = 1,019,206.60/969.88
  6. Step 6: Final answer
    x = 1,050.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.