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Finding the Fourth Proportional to 591.21, 885.02 and 406.53

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Solution

The fourth proportional to 591.21, 885.02 and 406.53 is: 608.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.21 : 885.02 = 406.53 : x
  2. Step 2: Convert to fraction form
    591.21/885.02 = 406.53/x
  3. Step 3: Cross multiply
    591.21x = 885.02 × 406.53
  4. Step 4: Simplify right side
    591.21x = 359,785.15
  5. Step 5: Solve for x
    x = 359,785.15/591.21
  6. Step 6: Final answer
    x = 608.56

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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.