Home / 1,110.21-1,531.61-731.62

Finding the Fourth Proportional to 1,110.21, 1,531.61 and 731.62

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Solution

The fourth proportional to 1,110.21, 1,531.61 and 731.62 is: 1,009.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.21 : 1,531.61 = 731.62 : x
  2. Step 2: Convert to fraction form
    1,110.21/1,531.61 = 731.62/x
  3. Step 3: Cross multiply
    1,110.21x = 1,531.61 × 731.62
  4. Step 4: Simplify right side
    1,110.21x = 1,120,548.89
  5. Step 5: Solve for x
    x = 1,120,548.89/1,110.21
  6. Step 6: Final answer
    x = 1,009.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.