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Finding the Fourth Proportional to 526.56, 721.82 and 517.25

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Solution

The fourth proportional to 526.56, 721.82 and 517.25 is: 709.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.56 : 721.82 = 517.25 : x
  2. Step 2: Convert to fraction form
    526.56/721.82 = 517.25/x
  3. Step 3: Cross multiply
    526.56x = 721.82 × 517.25
  4. Step 4: Simplify right side
    526.56x = 373,355.20
  5. Step 5: Solve for x
    x = 373,355.20/526.56
  6. Step 6: Final answer
    x = 709.05

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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.