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Finding the Fourth Proportional to 1,317.10, 1,974.38 and 769.18

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Solution

The fourth proportional to 1,317.10, 1,974.38 and 769.18 is: 1,153.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.10 : 1,974.38 = 769.18 : x
  2. Step 2: Convert to fraction form
    1,317.10/1,974.38 = 769.18/x
  3. Step 3: Cross multiply
    1,317.10x = 1,974.38 × 769.18
  4. Step 4: Simplify right side
    1,317.10x = 1,518,653.61
  5. Step 5: Solve for x
    x = 1,518,653.61/1,317.10
  6. Step 6: Final answer
    x = 1,153.03

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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.