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Finding the Fourth Proportional to 585.15, 878.27 and 402.09

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Solution

The fourth proportional to 585.15, 878.27 and 402.09 is: 603.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.15 : 878.27 = 402.09 : x
  2. Step 2: Convert to fraction form
    585.15/878.27 = 402.09/x
  3. Step 3: Cross multiply
    585.15x = 878.27 × 402.09
  4. Step 4: Simplify right side
    585.15x = 353,141.57
  5. Step 5: Solve for x
    x = 353,141.57/585.15
  6. Step 6: Final answer
    x = 603.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.