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Finding the Fourth Proportional to 582.09, 803.62 and 361.16

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Solution

The fourth proportional to 582.09, 803.62 and 361.16 is: 498.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.09 : 803.62 = 361.16 : x
  2. Step 2: Convert to fraction form
    582.09/803.62 = 361.16/x
  3. Step 3: Cross multiply
    582.09x = 803.62 × 361.16
  4. Step 4: Simplify right side
    582.09x = 290,234.85
  5. Step 5: Solve for x
    x = 290,234.85/582.09
  6. Step 6: Final answer
    x = 498.61

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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.