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Finding the Fourth Proportional to 688.88, 950.60 and 514

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Solution

The fourth proportional to 688.88, 950.60 and 514 is: 709.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.88 : 950.60 = 514 : x
  2. Step 2: Convert to fraction form
    688.88/950.60 = 514/x
  3. Step 3: Cross multiply
    688.88x = 950.60 × 514
  4. Step 4: Simplify right side
    688.88x = 488,608.40
  5. Step 5: Solve for x
    x = 488,608.40/688.88
  6. Step 6: Final answer
    x = 709.28

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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.