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Finding the Fourth Proportional to 585.39, 808.02 and 364.23

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Solution

The fourth proportional to 585.39, 808.02 and 364.23 is: 502.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.39 : 808.02 = 364.23 : x
  2. Step 2: Convert to fraction form
    585.39/808.02 = 364.23/x
  3. Step 3: Cross multiply
    585.39x = 808.02 × 364.23
  4. Step 4: Simplify right side
    585.39x = 294,305.12
  5. Step 5: Solve for x
    x = 294,305.12/585.39
  6. Step 6: Final answer
    x = 502.75

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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.