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Finding the Fourth Proportional to 525.57, 730.15 and 520.82

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Solution

The fourth proportional to 525.57, 730.15 and 520.82 is: 723.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.57 : 730.15 = 520.82 : x
  2. Step 2: Convert to fraction form
    525.57/730.15 = 520.82/x
  3. Step 3: Cross multiply
    525.57x = 730.15 × 520.82
  4. Step 4: Simplify right side
    525.57x = 380,276.72
  5. Step 5: Solve for x
    x = 380,276.72/525.57
  6. Step 6: Final answer
    x = 723.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.