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Finding the Fourth Proportional to 585.75, 807.81 and 419.61

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Solution

The fourth proportional to 585.75, 807.81 and 419.61 is: 578.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.75 : 807.81 = 419.61 : x
  2. Step 2: Convert to fraction form
    585.75/807.81 = 419.61/x
  3. Step 3: Cross multiply
    585.75x = 807.81 × 419.61
  4. Step 4: Simplify right side
    585.75x = 338,965.15
  5. Step 5: Solve for x
    x = 338,965.15/585.75
  6. Step 6: Final answer
    x = 578.69

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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.