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Finding the Fourth Proportional to 1,217.57, 1,826.67 and 698.16

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Solution

The fourth proportional to 1,217.57, 1,826.67 and 698.16 is: 1,047.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.57 : 1,826.67 = 698.16 : x
  2. Step 2: Convert to fraction form
    1,217.57/1,826.67 = 698.16/x
  3. Step 3: Cross multiply
    1,217.57x = 1,826.67 × 698.16
  4. Step 4: Simplify right side
    1,217.57x = 1,275,303.36
  5. Step 5: Solve for x
    x = 1,275,303.36/1,217.57
  6. Step 6: Final answer
    x = 1,047.42

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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.