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Finding the Fourth Proportional to 689.46, 950.34 and 541.82

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Solution

The fourth proportional to 689.46, 950.34 and 541.82 is: 746.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.46 : 950.34 = 541.82 : x
  2. Step 2: Convert to fraction form
    689.46/950.34 = 541.82/x
  3. Step 3: Cross multiply
    689.46x = 950.34 × 541.82
  4. Step 4: Simplify right side
    689.46x = 514,913.22
  5. Step 5: Solve for x
    x = 514,913.22/689.46
  6. Step 6: Final answer
    x = 746.84

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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.