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Finding the Fourth Proportional to 585.97, 808.28 and 386.80

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Solution

The fourth proportional to 585.97, 808.28 and 386.80 is: 533.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.97 : 808.28 = 386.80 : x
  2. Step 2: Convert to fraction form
    585.97/808.28 = 386.80/x
  3. Step 3: Cross multiply
    585.97x = 808.28 × 386.80
  4. Step 4: Simplify right side
    585.97x = 312,639.92
  5. Step 5: Solve for x
    x = 312,639.92/585.97
  6. Step 6: Final answer
    x = 533.55

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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.