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Finding the Fourth Proportional to 1,321.50, 1,823.67 and 769.50

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Solution

The fourth proportional to 1,321.50, 1,823.67 and 769.50 is: 1,061.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.50 : 1,823.67 = 769.50 : x
  2. Step 2: Convert to fraction form
    1,321.50/1,823.67 = 769.50/x
  3. Step 3: Cross multiply
    1,321.50x = 1,823.67 × 769.50
  4. Step 4: Simplify right side
    1,321.50x = 1,403,314.07
  5. Step 5: Solve for x
    x = 1,403,314.07/1,321.50
  6. Step 6: Final answer
    x = 1,061.91

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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.