Home / 1,742.80-2,614.16-444.16

Finding the Fourth Proportional to 1,742.80, 2,614.16 and 444.16

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Solution

The fourth proportional to 1,742.80, 2,614.16 and 444.16 is: 666.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.80 : 2,614.16 = 444.16 : x
  2. Step 2: Convert to fraction form
    1,742.80/2,614.16 = 444.16/x
  3. Step 3: Cross multiply
    1,742.80x = 2,614.16 × 444.16
  4. Step 4: Simplify right side
    1,742.80x = 1,161,105.31
  5. Step 5: Solve for x
    x = 1,161,105.31/1,742.80
  6. Step 6: Final answer
    x = 666.23

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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.