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Finding the Fourth Proportional to 416, 620.32 and 386.24

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Solution

The fourth proportional to 416, 620.32 and 386.24 is: 575.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    416 : 620.32 = 386.24 : x
  2. Step 2: Convert to fraction form
    416/620.32 = 386.24/x
  3. Step 3: Cross multiply
    416x = 620.32 × 386.24
  4. Step 4: Simplify right side
    416x = 239,592.40
  5. Step 5: Solve for x
    x = 239,592.40/416
  6. Step 6: Final answer
    x = 575.94

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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.