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Finding the Fourth Proportional to 1,618.85, 2,429.09 and 694.15

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Solution

The fourth proportional to 1,618.85, 2,429.09 and 694.15 is: 1,041.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.85 : 2,429.09 = 694.15 : x
  2. Step 2: Convert to fraction form
    1,618.85/2,429.09 = 694.15/x
  3. Step 3: Cross multiply
    1,618.85x = 2,429.09 × 694.15
  4. Step 4: Simplify right side
    1,618.85x = 1,686,152.82
  5. Step 5: Solve for x
    x = 1,686,152.82/1,618.85
  6. Step 6: Final answer
    x = 1,041.57

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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.