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Finding the Fourth Proportional to 592.80, 816.32 and 406.10

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Solution

The fourth proportional to 592.80, 816.32 and 406.10 is: 559.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.80 : 816.32 = 406.10 : x
  2. Step 2: Convert to fraction form
    592.80/816.32 = 406.10/x
  3. Step 3: Cross multiply
    592.80x = 816.32 × 406.10
  4. Step 4: Simplify right side
    592.80x = 331,501.44
  5. Step 5: Solve for x
    x = 331,501.44/592.80
  6. Step 6: Final answer
    x = 559.21

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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.