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Finding the Fourth Proportional to 835.82, 1,152.81 and 540.86

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Solution

The fourth proportional to 835.82, 1,152.81 and 540.86 is: 745.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.82 : 1,152.81 = 540.86 : x
  2. Step 2: Convert to fraction form
    835.82/1,152.81 = 540.86/x
  3. Step 3: Cross multiply
    835.82x = 1,152.81 × 540.86
  4. Step 4: Simplify right side
    835.82x = 623,508.82
  5. Step 5: Solve for x
    x = 623,508.82/835.82
  6. Step 6: Final answer
    x = 745.98

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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.