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Finding the Fourth Proportional to 688.17, 949.75 and 513.21

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Solution

The fourth proportional to 688.17, 949.75 and 513.21 is: 708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.17 : 949.75 = 513.21 : x
  2. Step 2: Convert to fraction form
    688.17/949.75 = 513.21/x
  3. Step 3: Cross multiply
    688.17x = 949.75 × 513.21
  4. Step 4: Simplify right side
    688.17x = 487,419.91
  5. Step 5: Solve for x
    x = 487,419.91/688.17
  6. Step 6: Final answer
    x = 708.28

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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.