Home / 1,315.12-1,970.80-698.28

Finding the Fourth Proportional to 1,315.12, 1,970.80 and 698.28

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Solution

The fourth proportional to 1,315.12, 1,970.80 and 698.28 is: 1,046.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.12 : 1,970.80 = 698.28 : x
  2. Step 2: Convert to fraction form
    1,315.12/1,970.80 = 698.28/x
  3. Step 3: Cross multiply
    1,315.12x = 1,970.80 × 698.28
  4. Step 4: Simplify right side
    1,315.12x = 1,376,170.22
  5. Step 5: Solve for x
    x = 1,376,170.22/1,315.12
  6. Step 6: Final answer
    x = 1,046.42

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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.