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Finding the Fourth Proportional to 621.66, 856.94 and 400.33

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Solution

The fourth proportional to 621.66, 856.94 and 400.33 is: 551.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.66 : 856.94 = 400.33 : x
  2. Step 2: Convert to fraction form
    621.66/856.94 = 400.33/x
  3. Step 3: Cross multiply
    621.66x = 856.94 × 400.33
  4. Step 4: Simplify right side
    621.66x = 343,058.79
  5. Step 5: Solve for x
    x = 343,058.79/621.66
  6. Step 6: Final answer
    x = 551.84

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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.