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Finding the Fourth Proportional to 599.82, 905.09 and 577.32

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Solution

The fourth proportional to 599.82, 905.09 and 577.32 is: 871.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.82 : 905.09 = 577.32 : x
  2. Step 2: Convert to fraction form
    599.82/905.09 = 577.32/x
  3. Step 3: Cross multiply
    599.82x = 905.09 × 577.32
  4. Step 4: Simplify right side
    599.82x = 522,523.67
  5. Step 5: Solve for x
    x = 522,523.67/599.82
  6. Step 6: Final answer
    x = 871.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.