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Finding the Fourth Proportional to 585.87, 808.40 and 378.75

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Solution

The fourth proportional to 585.87, 808.40 and 378.75 is: 522.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.87 : 808.40 = 378.75 : x
  2. Step 2: Convert to fraction form
    585.87/808.40 = 378.75/x
  3. Step 3: Cross multiply
    585.87x = 808.40 × 378.75
  4. Step 4: Simplify right side
    585.87x = 306,179.61
  5. Step 5: Solve for x
    x = 306,179.61/585.87
  6. Step 6: Final answer
    x = 522.61

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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.