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Finding the Fourth Proportional to 628.91, 938.85 and 546.92

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Solution

The fourth proportional to 628.91, 938.85 and 546.92 is: 816.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.91 : 938.85 = 546.92 : x
  2. Step 2: Convert to fraction form
    628.91/938.85 = 546.92/x
  3. Step 3: Cross multiply
    628.91x = 938.85 × 546.92
  4. Step 4: Simplify right side
    628.91x = 513,475.84
  5. Step 5: Solve for x
    x = 513,475.84/628.91
  6. Step 6: Final answer
    x = 816.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.