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Finding the Fourth Proportional to 969.67, 1,450.90 and 579.88

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Solution

The fourth proportional to 969.67, 1,450.90 and 579.88 is: 867.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.67 : 1,450.90 = 579.88 : x
  2. Step 2: Convert to fraction form
    969.67/1,450.90 = 579.88/x
  3. Step 3: Cross multiply
    969.67x = 1,450.90 × 579.88
  4. Step 4: Simplify right side
    969.67x = 841,347.89
  5. Step 5: Solve for x
    x = 841,347.89/969.67
  6. Step 6: Final answer
    x = 867.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.