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Finding the Fourth Proportional to 582.48, 803.85 and 361.56

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Solution

The fourth proportional to 582.48, 803.85 and 361.56 is: 498.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.48 : 803.85 = 361.56 : x
  2. Step 2: Convert to fraction form
    582.48/803.85 = 361.56/x
  3. Step 3: Cross multiply
    582.48x = 803.85 × 361.56
  4. Step 4: Simplify right side
    582.48x = 290,640.01
  5. Step 5: Solve for x
    x = 290,640.01/582.48
  6. Step 6: Final answer
    x = 498.97

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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.