Home / 1,008.26-1,511.80-460.14

Finding the Fourth Proportional to 1,008.26, 1,511.80 and 460.14

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Solution

The fourth proportional to 1,008.26, 1,511.80 and 460.14 is: 689.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.26 : 1,511.80 = 460.14 : x
  2. Step 2: Convert to fraction form
    1,008.26/1,511.80 = 460.14/x
  3. Step 3: Cross multiply
    1,008.26x = 1,511.80 × 460.14
  4. Step 4: Simplify right side
    1,008.26x = 695,639.65
  5. Step 5: Solve for x
    x = 695,639.65/1,008.26
  6. Step 6: Final answer
    x = 689.94

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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.