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Finding the Fourth Proportional to 835.75, 1,153.71 and 537.43

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Solution

The fourth proportional to 835.75, 1,153.71 and 537.43 is: 741.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.75 : 1,153.71 = 537.43 : x
  2. Step 2: Convert to fraction form
    835.75/1,153.71 = 537.43/x
  3. Step 3: Cross multiply
    835.75x = 1,153.71 × 537.43
  4. Step 4: Simplify right side
    835.75x = 620,041.82
  5. Step 5: Solve for x
    x = 620,041.82/835.75
  6. Step 6: Final answer
    x = 741.90

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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.