Home / 1,398.14-2,097.29-424.31

Finding the Fourth Proportional to 1,398.14, 2,097.29 and 424.31

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Solution

The fourth proportional to 1,398.14, 2,097.29 and 424.31 is: 636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.14 : 2,097.29 = 424.31 : x
  2. Step 2: Convert to fraction form
    1,398.14/2,097.29 = 424.31/x
  3. Step 3: Cross multiply
    1,398.14x = 2,097.29 × 424.31
  4. Step 4: Simplify right side
    1,398.14x = 889,907.42
  5. Step 5: Solve for x
    x = 889,907.42/1,398.14
  6. Step 6: Final answer
    x = 636.50

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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.