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Finding the Fourth Proportional to 586, 808.68 and 353.17

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Solution

The fourth proportional to 586, 808.68 and 353.17 is: 487.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    586 : 808.68 = 353.17 : x
  2. Step 2: Convert to fraction form
    586/808.68 = 353.17/x
  3. Step 3: Cross multiply
    586x = 808.68 × 353.17
  4. Step 4: Simplify right side
    586x = 285,601.52
  5. Step 5: Solve for x
    x = 285,601.52/586
  6. Step 6: Final answer
    x = 487.37

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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.