Home / 1,412.07-2,115.78-487.13

Finding the Fourth Proportional to 1,412.07, 2,115.78 and 487.13

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Solution

The fourth proportional to 1,412.07, 2,115.78 and 487.13 is: 729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.07 : 2,115.78 = 487.13 : x
  2. Step 2: Convert to fraction form
    1,412.07/2,115.78 = 487.13/x
  3. Step 3: Cross multiply
    1,412.07x = 2,115.78 × 487.13
  4. Step 4: Simplify right side
    1,412.07x = 1,030,649.33
  5. Step 5: Solve for x
    x = 1,030,649.33/1,412.07
  6. Step 6: Final answer
    x = 729.89

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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.