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Finding the Fourth Proportional to 424.38, 585.93 and 284.71

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Solution

The fourth proportional to 424.38, 585.93 and 284.71 is: 393.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.38 : 585.93 = 284.71 : x
  2. Step 2: Convert to fraction form
    424.38/585.93 = 284.71/x
  3. Step 3: Cross multiply
    424.38x = 585.93 × 284.71
  4. Step 4: Simplify right side
    424.38x = 166,817.20
  5. Step 5: Solve for x
    x = 166,817.20/424.38
  6. Step 6: Final answer
    x = 393.08

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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.