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Finding the Fourth Proportional to 407.59, 562.97 and 361.10

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Solution

The fourth proportional to 407.59, 562.97 and 361.10 is: 498.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.59 : 562.97 = 361.10 : x
  2. Step 2: Convert to fraction form
    407.59/562.97 = 361.10/x
  3. Step 3: Cross multiply
    407.59x = 562.97 × 361.10
  4. Step 4: Simplify right side
    407.59x = 203,288.47
  5. Step 5: Solve for x
    x = 203,288.47/407.59
  6. Step 6: Final answer
    x = 498.76

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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.