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Finding the Fourth Proportional to 1,107.91, 1,528.81 and 610.57

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Solution

The fourth proportional to 1,107.91, 1,528.81 and 610.57 is: 842.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.91 : 1,528.81 = 610.57 : x
  2. Step 2: Convert to fraction form
    1,107.91/1,528.81 = 610.57/x
  3. Step 3: Cross multiply
    1,107.91x = 1,528.81 × 610.57
  4. Step 4: Simplify right side
    1,107.91x = 933,445.52
  5. Step 5: Solve for x
    x = 933,445.52/1,107.91
  6. Step 6: Final answer
    x = 842.53

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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.