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Finding the Fourth Proportional to 661.75, 913.22 and 428.88

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Solution

The fourth proportional to 661.75, 913.22 and 428.88 is: 591.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.75 : 913.22 = 428.88 : x
  2. Step 2: Convert to fraction form
    661.75/913.22 = 428.88/x
  3. Step 3: Cross multiply
    661.75x = 913.22 × 428.88
  4. Step 4: Simplify right side
    661.75x = 391,655.08
  5. Step 5: Solve for x
    x = 391,655.08/661.75
  6. Step 6: Final answer
    x = 591.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.