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Finding the Fourth Proportional to 416.30, 570.91 and 411.50

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Solution

The fourth proportional to 416.30, 570.91 and 411.50 is: 564.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.30 : 570.91 = 411.50 : x
  2. Step 2: Convert to fraction form
    416.30/570.91 = 411.50/x
  3. Step 3: Cross multiply
    416.30x = 570.91 × 411.50
  4. Step 4: Simplify right side
    416.30x = 234,929.47
  5. Step 5: Solve for x
    x = 234,929.47/416.30
  6. Step 6: Final answer
    x = 564.33

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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.