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Finding the Fourth Proportional to 585.27, 808.00 and 427.75

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Solution

The fourth proportional to 585.27, 808.00 and 427.75 is: 590.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.27 : 808.00 = 427.75 : x
  2. Step 2: Convert to fraction form
    585.27/808.00 = 427.75/x
  3. Step 3: Cross multiply
    585.27x = 808.00 × 427.75
  4. Step 4: Simplify right side
    585.27x = 345,616.89
  5. Step 5: Solve for x
    x = 345,616.89/585.27
  6. Step 6: Final answer
    x = 590.53

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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.