Home / 1,109.40-1,531.08-612.14

Finding the Fourth Proportional to 1,109.40, 1,531.08 and 612.14

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Solution

The fourth proportional to 1,109.40, 1,531.08 and 612.14 is: 844.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.40 : 1,531.08 = 612.14 : x
  2. Step 2: Convert to fraction form
    1,109.40/1,531.08 = 612.14/x
  3. Step 3: Cross multiply
    1,109.40x = 1,531.08 × 612.14
  4. Step 4: Simplify right side
    1,109.40x = 937,235.31
  5. Step 5: Solve for x
    x = 937,235.31/1,109.40
  6. Step 6: Final answer
    x = 844.81

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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.