Home / 1,010.12-1,514.34-523.31

Finding the Fourth Proportional to 1,010.12, 1,514.34 and 523.31

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Solution

The fourth proportional to 1,010.12, 1,514.34 and 523.31 is: 784.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.12 : 1,514.34 = 523.31 : x
  2. Step 2: Convert to fraction form
    1,010.12/1,514.34 = 523.31/x
  3. Step 3: Cross multiply
    1,010.12x = 1,514.34 × 523.31
  4. Step 4: Simplify right side
    1,010.12x = 792,461.69
  5. Step 5: Solve for x
    x = 792,461.69/1,010.12
  6. Step 6: Final answer
    x = 784.53

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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.