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Finding the Fourth Proportional to 628.72, 946.78 and 548.53

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Solution

The fourth proportional to 628.72, 946.78 and 548.53 is: 826.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.72 : 946.78 = 548.53 : x
  2. Step 2: Convert to fraction form
    628.72/946.78 = 548.53/x
  3. Step 3: Cross multiply
    628.72x = 946.78 × 548.53
  4. Step 4: Simplify right side
    628.72x = 519,337.23
  5. Step 5: Solve for x
    x = 519,337.23/628.72
  6. Step 6: Final answer
    x = 826.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.