Home / 1,316.20-1,972.58-698.60

Finding the Fourth Proportional to 1,316.20, 1,972.58 and 698.60

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Solution

The fourth proportional to 1,316.20, 1,972.58 and 698.60 is: 1,046.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.20 : 1,972.58 = 698.60 : x
  2. Step 2: Convert to fraction form
    1,316.20/1,972.58 = 698.60/x
  3. Step 3: Cross multiply
    1,316.20x = 1,972.58 × 698.60
  4. Step 4: Simplify right side
    1,316.20x = 1,378,044.39
  5. Step 5: Solve for x
    x = 1,378,044.39/1,316.20
  6. Step 6: Final answer
    x = 1,046.99

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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.