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Finding the Fourth Proportional to 621.78, 857.71 and 548.28

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Solution

The fourth proportional to 621.78, 857.71 and 548.28 is: 756.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.78 : 857.71 = 548.28 : x
  2. Step 2: Convert to fraction form
    621.78/857.71 = 548.28/x
  3. Step 3: Cross multiply
    621.78x = 857.71 × 548.28
  4. Step 4: Simplify right side
    621.78x = 470,265.24
  5. Step 5: Solve for x
    x = 470,265.24/621.78
  6. Step 6: Final answer
    x = 756.32

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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.