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Finding the Fourth Proportional to 591.77, 888.44 and 505.66

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Solution

The fourth proportional to 591.77, 888.44 and 505.66 is: 759.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.77 : 888.44 = 505.66 : x
  2. Step 2: Convert to fraction form
    591.77/888.44 = 505.66/x
  3. Step 3: Cross multiply
    591.77x = 888.44 × 505.66
  4. Step 4: Simplify right side
    591.77x = 449,249.83
  5. Step 5: Solve for x
    x = 449,249.83/591.77
  6. Step 6: Final answer
    x = 759.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.