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Finding the Fourth Proportional to 424.83, 585.46 and 306.59

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Solution

The fourth proportional to 424.83, 585.46 and 306.59 is: 422.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.83 : 585.46 = 306.59 : x
  2. Step 2: Convert to fraction form
    424.83/585.46 = 306.59/x
  3. Step 3: Cross multiply
    424.83x = 585.46 × 306.59
  4. Step 4: Simplify right side
    424.83x = 179,498.58
  5. Step 5: Solve for x
    x = 179,498.58/424.83
  6. Step 6: Final answer
    x = 422.52

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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.