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Finding the Fourth Proportional to 525.76, 720.20 and 520

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Solution

The fourth proportional to 525.76, 720.20 and 520 is: 712.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.76 : 720.20 = 520 : x
  2. Step 2: Convert to fraction form
    525.76/720.20 = 520/x
  3. Step 3: Cross multiply
    525.76x = 720.20 × 520
  4. Step 4: Simplify right side
    525.76x = 374,504
  5. Step 5: Solve for x
    x = 374,504/525.76
  6. Step 6: Final answer
    x = 712.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.