Home / 1,398.20-2,097.40-532.52

Finding the Fourth Proportional to 1,398.20, 2,097.40 and 532.52

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Solution

The fourth proportional to 1,398.20, 2,097.40 and 532.52 is: 798.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.20 : 2,097.40 = 532.52 : x
  2. Step 2: Convert to fraction form
    1,398.20/2,097.40 = 532.52/x
  3. Step 3: Cross multiply
    1,398.20x = 2,097.40 × 532.52
  4. Step 4: Simplify right side
    1,398.20x = 1,116,907.45
  5. Step 5: Solve for x
    x = 1,116,907.45/1,398.20
  6. Step 6: Final answer
    x = 798.82

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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.