Home / 1,563.23-2,343.63-698.15

Finding the Fourth Proportional to 1,563.23, 2,343.63 and 698.15

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Solution

The fourth proportional to 1,563.23, 2,343.63 and 698.15 is: 1,046.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.23 : 2,343.63 = 698.15 : x
  2. Step 2: Convert to fraction form
    1,563.23/2,343.63 = 698.15/x
  3. Step 3: Cross multiply
    1,563.23x = 2,343.63 × 698.15
  4. Step 4: Simplify right side
    1,563.23x = 1,636,213.76
  5. Step 5: Solve for x
    x = 1,636,213.76/1,563.23
  6. Step 6: Final answer
    x = 1,046.69

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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.