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Finding the Fourth Proportional to 585.31, 808.11 and 523.75

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Solution

The fourth proportional to 585.31, 808.11 and 523.75 is: 723.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.31 : 808.11 = 523.75 : x
  2. Step 2: Convert to fraction form
    585.31/808.11 = 523.75/x
  3. Step 3: Cross multiply
    585.31x = 808.11 × 523.75
  4. Step 4: Simplify right side
    585.31x = 423,247.61
  5. Step 5: Solve for x
    x = 423,247.61/585.31
  6. Step 6: Final answer
    x = 723.12

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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.