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Finding the Fourth Proportional to 424.14, 585.86 and 384.83

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Solution

The fourth proportional to 424.14, 585.86 and 384.83 is: 531.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.14 : 585.86 = 384.83 : x
  2. Step 2: Convert to fraction form
    424.14/585.86 = 384.83/x
  3. Step 3: Cross multiply
    424.14x = 585.86 × 384.83
  4. Step 4: Simplify right side
    424.14x = 225,453.28
  5. Step 5: Solve for x
    x = 225,453.28/424.14
  6. Step 6: Final answer
    x = 531.56

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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.