Home / 1,398.17-2,097.32-424.28

Finding the Fourth Proportional to 1,398.17, 2,097.32 and 424.28

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Solution

The fourth proportional to 1,398.17, 2,097.32 and 424.28 is: 636.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.17 : 2,097.32 = 424.28 : x
  2. Step 2: Convert to fraction form
    1,398.17/2,097.32 = 424.28/x
  3. Step 3: Cross multiply
    1,398.17x = 2,097.32 × 424.28
  4. Step 4: Simplify right side
    1,398.17x = 889,850.93
  5. Step 5: Solve for x
    x = 889,850.93/1,398.17
  6. Step 6: Final answer
    x = 636.44

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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.