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Finding the Fourth Proportional to 513.15, 707.72 and 382.47

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Solution

The fourth proportional to 513.15, 707.72 and 382.47 is: 527.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.15 : 707.72 = 382.47 : x
  2. Step 2: Convert to fraction form
    513.15/707.72 = 382.47/x
  3. Step 3: Cross multiply
    513.15x = 707.72 × 382.47
  4. Step 4: Simplify right side
    513.15x = 270,679.76
  5. Step 5: Solve for x
    x = 270,679.76/513.15
  6. Step 6: Final answer
    x = 527.49

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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.