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Finding the Fourth Proportional to 835.23, 1,152.15 and 520.55

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Solution

The fourth proportional to 835.23, 1,152.15 and 520.55 is: 718.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.23 : 1,152.15 = 520.55 : x
  2. Step 2: Convert to fraction form
    835.23/1,152.15 = 520.55/x
  3. Step 3: Cross multiply
    835.23x = 1,152.15 × 520.55
  4. Step 4: Simplify right side
    835.23x = 599,745.92
  5. Step 5: Solve for x
    x = 599,745.92/835.23
  6. Step 6: Final answer
    x = 718.06

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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.