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Finding the Fourth Proportional to 592.03, 816.69 and 405.19

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Solution

The fourth proportional to 592.03, 816.69 and 405.19 is: 558.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.03 : 816.69 = 405.19 : x
  2. Step 2: Convert to fraction form
    592.03/816.69 = 405.19/x
  3. Step 3: Cross multiply
    592.03x = 816.69 × 405.19
  4. Step 4: Simplify right side
    592.03x = 330,914.62
  5. Step 5: Solve for x
    x = 330,914.62/592.03
  6. Step 6: Final answer
    x = 558.95

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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.