Home / 1,010.16-1,514.09-455.31

Finding the Fourth Proportional to 1,010.16, 1,514.09 and 455.31

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Solution

The fourth proportional to 1,010.16, 1,514.09 and 455.31 is: 682.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.16 : 1,514.09 = 455.31 : x
  2. Step 2: Convert to fraction form
    1,010.16/1,514.09 = 455.31/x
  3. Step 3: Cross multiply
    1,010.16x = 1,514.09 × 455.31
  4. Step 4: Simplify right side
    1,010.16x = 689,378.04
  5. Step 5: Solve for x
    x = 689,378.04/1,010.16
  6. Step 6: Final answer
    x = 682.44

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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.