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Finding the Fourth Proportional to 835.56, 1,153.26 and 540.90

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Solution

The fourth proportional to 835.56, 1,153.26 and 540.90 is: 746.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.56 : 1,153.26 = 540.90 : x
  2. Step 2: Convert to fraction form
    835.56/1,153.26 = 540.90/x
  3. Step 3: Cross multiply
    835.56x = 1,153.26 × 540.90
  4. Step 4: Simplify right side
    835.56x = 623,798.33
  5. Step 5: Solve for x
    x = 623,798.33/835.56
  6. Step 6: Final answer
    x = 746.56

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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.