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Finding the Fourth Proportional to 407.58, 562.23 and 365.82

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Solution

The fourth proportional to 407.58, 562.23 and 365.82 is: 504.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.58 : 562.23 = 365.82 : x
  2. Step 2: Convert to fraction form
    407.58/562.23 = 365.82/x
  3. Step 3: Cross multiply
    407.58x = 562.23 × 365.82
  4. Step 4: Simplify right side
    407.58x = 205,674.98
  5. Step 5: Solve for x
    x = 205,674.98/407.58
  6. Step 6: Final answer
    x = 504.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.