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Finding the Fourth Proportional to 424.63, 585.39 and 319.74

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Solution

The fourth proportional to 424.63, 585.39 and 319.74 is: 440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.63 : 585.39 = 319.74 : x
  2. Step 2: Convert to fraction form
    424.63/585.39 = 319.74/x
  3. Step 3: Cross multiply
    424.63x = 585.39 × 319.74
  4. Step 4: Simplify right side
    424.63x = 187,172.60
  5. Step 5: Solve for x
    x = 187,172.60/424.63
  6. Step 6: Final answer
    x = 440.79

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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.