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Finding the Fourth Proportional to 621.57, 857.35 and 400.17

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Solution

The fourth proportional to 621.57, 857.35 and 400.17 is: 551.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.57 : 857.35 = 400.17 : x
  2. Step 2: Convert to fraction form
    621.57/857.35 = 400.17/x
  3. Step 3: Cross multiply
    621.57x = 857.35 × 400.17
  4. Step 4: Simplify right side
    621.57x = 343,085.75
  5. Step 5: Solve for x
    x = 343,085.75/621.57
  6. Step 6: Final answer
    x = 551.97

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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.