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Finding the Fourth Proportional to 689.18, 949.95 and 539.54

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Solution

The fourth proportional to 689.18, 949.95 and 539.54 is: 743.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.18 : 949.95 = 539.54 : x
  2. Step 2: Convert to fraction form
    689.18/949.95 = 539.54/x
  3. Step 3: Cross multiply
    689.18x = 949.95 × 539.54
  4. Step 4: Simplify right side
    689.18x = 512,536.02
  5. Step 5: Solve for x
    x = 512,536.02/689.18
  6. Step 6: Final answer
    x = 743.69

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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.