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Finding the Fourth Proportional to 416.85, 621.72 and 365.82

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Solution

The fourth proportional to 416.85, 621.72 and 365.82 is: 545.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.85 : 621.72 = 365.82 : x
  2. Step 2: Convert to fraction form
    416.85/621.72 = 365.82/x
  3. Step 3: Cross multiply
    416.85x = 621.72 × 365.82
  4. Step 4: Simplify right side
    416.85x = 227,437.61
  5. Step 5: Solve for x
    x = 227,437.61/416.85
  6. Step 6: Final answer
    x = 545.61

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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.