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Finding the Fourth Proportional to 592.09, 816.32 and 405.26

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Solution

The fourth proportional to 592.09, 816.32 and 405.26 is: 558.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.09 : 816.32 = 405.26 : x
  2. Step 2: Convert to fraction form
    592.09/816.32 = 405.26/x
  3. Step 3: Cross multiply
    592.09x = 816.32 × 405.26
  4. Step 4: Simplify right side
    592.09x = 330,822.60
  5. Step 5: Solve for x
    x = 330,822.60/592.09
  6. Step 6: Final answer
    x = 558.74

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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.