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Finding the Fourth Proportional to 585.10, 876.38 and 367.62

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Solution

The fourth proportional to 585.10, 876.38 and 367.62 is: 550.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.10 : 876.38 = 367.62 : x
  2. Step 2: Convert to fraction form
    585.10/876.38 = 367.62/x
  3. Step 3: Cross multiply
    585.10x = 876.38 × 367.62
  4. Step 4: Simplify right side
    585.10x = 322,174.82
  5. Step 5: Solve for x
    x = 322,174.82/585.10
  6. Step 6: Final answer
    x = 550.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.