Home / 1,642.16-2,463.44-668.13

Finding the Fourth Proportional to 1,642.16, 2,463.44 and 668.13

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Solution

The fourth proportional to 1,642.16, 2,463.44 and 668.13 is: 1,002.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.16 : 2,463.44 = 668.13 : x
  2. Step 2: Convert to fraction form
    1,642.16/2,463.44 = 668.13/x
  3. Step 3: Cross multiply
    1,642.16x = 2,463.44 × 668.13
  4. Step 4: Simplify right side
    1,642.16x = 1,645,894.83
  5. Step 5: Solve for x
    x = 1,645,894.83/1,642.16
  6. Step 6: Final answer
    x = 1,002.28

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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.