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Finding the Fourth Proportional to 585.38, 807.72 and 361.36

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Solution

The fourth proportional to 585.38, 807.72 and 361.36 is: 498.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.38 : 807.72 = 361.36 : x
  2. Step 2: Convert to fraction form
    585.38/807.72 = 361.36/x
  3. Step 3: Cross multiply
    585.38x = 807.72 × 361.36
  4. Step 4: Simplify right side
    585.38x = 291,879.39
  5. Step 5: Solve for x
    x = 291,879.39/585.38
  6. Step 6: Final answer
    x = 498.62

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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.