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Finding the Fourth Proportional to 416.36, 570.41 and 400.78

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Solution

The fourth proportional to 416.36, 570.41 and 400.78 is: 549.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.36 : 570.41 = 400.78 : x
  2. Step 2: Convert to fraction form
    416.36/570.41 = 400.78/x
  3. Step 3: Cross multiply
    416.36x = 570.41 × 400.78
  4. Step 4: Simplify right side
    416.36x = 228,609.13
  5. Step 5: Solve for x
    x = 228,609.13/416.36
  6. Step 6: Final answer
    x = 549.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.