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Finding the Fourth Proportional to 513.49, 707.79 and 356.35

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Solution

The fourth proportional to 513.49, 707.79 and 356.35 is: 491.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.49 : 707.79 = 356.35 : x
  2. Step 2: Convert to fraction form
    513.49/707.79 = 356.35/x
  3. Step 3: Cross multiply
    513.49x = 707.79 × 356.35
  4. Step 4: Simplify right side
    513.49x = 252,220.97
  5. Step 5: Solve for x
    x = 252,220.97/513.49
  6. Step 6: Final answer
    x = 491.19

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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.