Home / 1,109.57-1,531.21-612.24

Finding the Fourth Proportional to 1,109.57, 1,531.21 and 612.24

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Solution

The fourth proportional to 1,109.57, 1,531.21 and 612.24 is: 844.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.57 : 1,531.21 = 612.24 : x
  2. Step 2: Convert to fraction form
    1,109.57/1,531.21 = 612.24/x
  3. Step 3: Cross multiply
    1,109.57x = 1,531.21 × 612.24
  4. Step 4: Simplify right side
    1,109.57x = 937,466.48
  5. Step 5: Solve for x
    x = 937,466.48/1,109.57
  6. Step 6: Final answer
    x = 844.89

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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.