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Finding the Fourth Proportional to 585.25, 807.66 and 378.61

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Solution

The fourth proportional to 585.25, 807.66 and 378.61 is: 522.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.25 : 807.66 = 378.61 : x
  2. Step 2: Convert to fraction form
    585.25/807.66 = 378.61/x
  3. Step 3: Cross multiply
    585.25x = 807.66 × 378.61
  4. Step 4: Simplify right side
    585.25x = 305,788.15
  5. Step 5: Solve for x
    x = 305,788.15/585.25
  6. Step 6: Final answer
    x = 522.49

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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.