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Finding the Fourth Proportional to 591.21, 885.24 and 407.79

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Solution

The fourth proportional to 591.21, 885.24 and 407.79 is: 610.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.21 : 885.24 = 407.79 : x
  2. Step 2: Convert to fraction form
    591.21/885.24 = 407.79/x
  3. Step 3: Cross multiply
    591.21x = 885.24 × 407.79
  4. Step 4: Simplify right side
    591.21x = 360,992.02
  5. Step 5: Solve for x
    x = 360,992.02/591.21
  6. Step 6: Final answer
    x = 610.60

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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.