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Finding the Fourth Proportional to 416.53, 570.65 and 400.96

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Solution

The fourth proportional to 416.53, 570.65 and 400.96 is: 549.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.53 : 570.65 = 400.96 : x
  2. Step 2: Convert to fraction form
    416.53/570.65 = 400.96/x
  3. Step 3: Cross multiply
    416.53x = 570.65 × 400.96
  4. Step 4: Simplify right side
    416.53x = 228,803.97
  5. Step 5: Solve for x
    x = 228,803.97/416.53
  6. Step 6: Final answer
    x = 549.31

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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.