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Finding the Fourth Proportional to 621.45, 857.30 and 400.77

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Solution

The fourth proportional to 621.45, 857.30 and 400.77 is: 552.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.45 : 857.30 = 400.77 : x
  2. Step 2: Convert to fraction form
    621.45/857.30 = 400.77/x
  3. Step 3: Cross multiply
    621.45x = 857.30 × 400.77
  4. Step 4: Simplify right side
    621.45x = 343,578.12
  5. Step 5: Solve for x
    x = 343,578.12/621.45
  6. Step 6: Final answer
    x = 552.87

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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.