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Finding the Fourth Proportional to 592.64, 816.64 and 408.32

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Solution

The fourth proportional to 592.64, 816.64 and 408.32 is: 562.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.64 : 816.64 = 408.32 : x
  2. Step 2: Convert to fraction form
    592.64/816.64 = 408.32/x
  3. Step 3: Cross multiply
    592.64x = 816.64 × 408.32
  4. Step 4: Simplify right side
    592.64x = 333,450.44
  5. Step 5: Solve for x
    x = 333,450.44/592.64
  6. Step 6: Final answer
    x = 562.65

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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.