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Finding the Fourth Proportional to 591.69, 885.41 and 360.64

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Solution

The fourth proportional to 591.69, 885.41 and 360.64 is: 539.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.69 : 885.41 = 360.64 : x
  2. Step 2: Convert to fraction form
    591.69/885.41 = 360.64/x
  3. Step 3: Cross multiply
    591.69x = 885.41 × 360.64
  4. Step 4: Simplify right side
    591.69x = 319,314.26
  5. Step 5: Solve for x
    x = 319,314.26/591.69
  6. Step 6: Final answer
    x = 539.66

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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.