Home / 1,008.20-1,511.80-358.84

Finding the Fourth Proportional to 1,008.20, 1,511.80 and 358.84

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Solution

The fourth proportional to 1,008.20, 1,511.80 and 358.84 is: 538.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.20 : 1,511.80 = 358.84 : x
  2. Step 2: Convert to fraction form
    1,008.20/1,511.80 = 358.84/x
  3. Step 3: Cross multiply
    1,008.20x = 1,511.80 × 358.84
  4. Step 4: Simplify right side
    1,008.20x = 542,494.31
  5. Step 5: Solve for x
    x = 542,494.31/1,008.20
  6. Step 6: Final answer
    x = 538.08

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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.