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Finding the Fourth Proportional to 424.45, 585.41 and 284.52

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Solution

The fourth proportional to 424.45, 585.41 and 284.52 is: 392.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.45 : 585.41 = 284.52 : x
  2. Step 2: Convert to fraction form
    424.45/585.41 = 284.52/x
  3. Step 3: Cross multiply
    424.45x = 585.41 × 284.52
  4. Step 4: Simplify right side
    424.45x = 166,559.43
  5. Step 5: Solve for x
    x = 166,559.43/424.45
  6. Step 6: Final answer
    x = 392.41

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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.