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Finding the Fourth Proportional to 585.49, 808.30 and 399.25

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Solution

The fourth proportional to 585.49, 808.30 and 399.25 is: 551.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.49 : 808.30 = 399.25 : x
  2. Step 2: Convert to fraction form
    585.49/808.30 = 399.25/x
  3. Step 3: Cross multiply
    585.49x = 808.30 × 399.25
  4. Step 4: Simplify right side
    585.49x = 322,715.80
  5. Step 5: Solve for x
    x = 322,715.80/585.49
  6. Step 6: Final answer
    x = 551.19

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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.