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Finding the Fourth Proportional to 585.49, 808.39 and 364.63

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Solution

The fourth proportional to 585.49, 808.39 and 364.63 is: 503.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.49 : 808.39 = 364.63 : x
  2. Step 2: Convert to fraction form
    585.49/808.39 = 364.63/x
  3. Step 3: Cross multiply
    585.49x = 808.39 × 364.63
  4. Step 4: Simplify right side
    585.49x = 294,759.20
  5. Step 5: Solve for x
    x = 294,759.20/585.49
  6. Step 6: Final answer
    x = 503.44

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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.