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Finding the Fourth Proportional to 591.92, 817.28 and 405.40

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Solution

The fourth proportional to 591.92, 817.28 and 405.40 is: 559.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.92 : 817.28 = 405.40 : x
  2. Step 2: Convert to fraction form
    591.92/817.28 = 405.40/x
  3. Step 3: Cross multiply
    591.92x = 817.28 × 405.40
  4. Step 4: Simplify right side
    591.92x = 331,325.31
  5. Step 5: Solve for x
    x = 331,325.31/591.92
  6. Step 6: Final answer
    x = 559.75

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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.