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Finding the Fourth Proportional to 688.19, 949.07 and 517.17

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Solution

The fourth proportional to 688.19, 949.07 and 517.17 is: 713.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.19 : 949.07 = 517.17 : x
  2. Step 2: Convert to fraction form
    688.19/949.07 = 517.17/x
  3. Step 3: Cross multiply
    688.19x = 949.07 × 517.17
  4. Step 4: Simplify right side
    688.19x = 490,830.53
  5. Step 5: Solve for x
    x = 490,830.53/688.19
  6. Step 6: Final answer
    x = 713.22

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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.