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Finding the Fourth Proportional to 591.84, 816.96 and 405.60

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Solution

The fourth proportional to 591.84, 816.96 and 405.60 is: 559.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.84 : 816.96 = 405.60 : x
  2. Step 2: Convert to fraction form
    591.84/816.96 = 405.60/x
  3. Step 3: Cross multiply
    591.84x = 816.96 × 405.60
  4. Step 4: Simplify right side
    591.84x = 331,358.98
  5. Step 5: Solve for x
    x = 331,358.98/591.84
  6. Step 6: Final answer
    x = 559.88

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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.