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Finding the Fourth Proportional to 416.48, 621.03 and 403.11

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Solution

The fourth proportional to 416.48, 621.03 and 403.11 is: 601.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.48 : 621.03 = 403.11 : x
  2. Step 2: Convert to fraction form
    416.48/621.03 = 403.11/x
  3. Step 3: Cross multiply
    416.48x = 621.03 × 403.11
  4. Step 4: Simplify right side
    416.48x = 250,344.91
  5. Step 5: Solve for x
    x = 250,344.91/416.48
  6. Step 6: Final answer
    x = 601.10

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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.