Home / 1,110.22-1,665.28-460.78

Finding the Fourth Proportional to 1,110.22, 1,665.28 and 460.78

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Solution

The fourth proportional to 1,110.22, 1,665.28 and 460.78 is: 691.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.22 : 1,665.28 = 460.78 : x
  2. Step 2: Convert to fraction form
    1,110.22/1,665.28 = 460.78/x
  3. Step 3: Cross multiply
    1,110.22x = 1,665.28 × 460.78
  4. Step 4: Simplify right side
    1,110.22x = 767,327.72
  5. Step 5: Solve for x
    x = 767,327.72/1,110.22
  6. Step 6: Final answer
    x = 691.15

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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.