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Finding the Fourth Proportional to 1,078.98, 1,618.48 and 694.50

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Solution

The fourth proportional to 1,078.98, 1,618.48 and 694.50 is: 1,041.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.98 : 1,618.48 = 694.50 : x
  2. Step 2: Convert to fraction form
    1,078.98/1,618.48 = 694.50/x
  3. Step 3: Cross multiply
    1,078.98x = 1,618.48 × 694.50
  4. Step 4: Simplify right side
    1,078.98x = 1,124,034.36
  5. Step 5: Solve for x
    x = 1,124,034.36/1,078.98
  6. Step 6: Final answer
    x = 1,041.76

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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.