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Finding the Fourth Proportional to 1,109.87, 1,531.69 and 612.51

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Solution

The fourth proportional to 1,109.87, 1,531.69 and 612.51 is: 845.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.87 : 1,531.69 = 612.51 : x
  2. Step 2: Convert to fraction form
    1,109.87/1,531.69 = 612.51/x
  3. Step 3: Cross multiply
    1,109.87x = 1,531.69 × 612.51
  4. Step 4: Simplify right side
    1,109.87x = 938,175.44
  5. Step 5: Solve for x
    x = 938,175.44/1,109.87
  6. Step 6: Final answer
    x = 845.30

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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.