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Finding the Fourth Proportional to 1,398.54, 2,097.80 and 358.54

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Solution

The fourth proportional to 1,398.54, 2,097.80 and 358.54 is: 537.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.54 : 2,097.80 = 358.54 : x
  2. Step 2: Convert to fraction form
    1,398.54/2,097.80 = 358.54/x
  3. Step 3: Cross multiply
    1,398.54x = 2,097.80 × 358.54
  4. Step 4: Simplify right side
    1,398.54x = 752,145.21
  5. Step 5: Solve for x
    x = 752,145.21/1,398.54
  6. Step 6: Final answer
    x = 537.81

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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.