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Finding the Fourth Proportional to 835.66, 1,152.48 and 540.64

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Solution

The fourth proportional to 835.66, 1,152.48 and 540.64 is: 745.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.66 : 1,152.48 = 540.64 : x
  2. Step 2: Convert to fraction form
    835.66/1,152.48 = 540.64/x
  3. Step 3: Cross multiply
    835.66x = 1,152.48 × 540.64
  4. Step 4: Simplify right side
    835.66x = 623,076.79
  5. Step 5: Solve for x
    x = 623,076.79/835.66
  6. Step 6: Final answer
    x = 745.61

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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.