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Finding the Fourth Proportional to 416.07, 621.27 and 400.68

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Solution

The fourth proportional to 416.07, 621.27 and 400.68 is: 598.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.07 : 621.27 = 400.68 : x
  2. Step 2: Convert to fraction form
    416.07/621.27 = 400.68/x
  3. Step 3: Cross multiply
    416.07x = 621.27 × 400.68
  4. Step 4: Simplify right side
    416.07x = 248,930.46
  5. Step 5: Solve for x
    x = 248,930.46/416.07
  6. Step 6: Final answer
    x = 598.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.