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Finding the Fourth Proportional to 513.48, 710.34 and 452.20

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Solution

The fourth proportional to 513.48, 710.34 and 452.20 is: 625.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.48 : 710.34 = 452.20 : x
  2. Step 2: Convert to fraction form
    513.48/710.34 = 452.20/x
  3. Step 3: Cross multiply
    513.48x = 710.34 × 452.20
  4. Step 4: Simplify right side
    513.48x = 321,215.75
  5. Step 5: Solve for x
    x = 321,215.75/513.48
  6. Step 6: Final answer
    x = 625.57

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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.