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Finding the Fourth Proportional to 591.66, 883.69 and 428.85

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Solution

The fourth proportional to 591.66, 883.69 and 428.85 is: 640.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.66 : 883.69 = 428.85 : x
  2. Step 2: Convert to fraction form
    591.66/883.69 = 428.85/x
  3. Step 3: Cross multiply
    591.66x = 883.69 × 428.85
  4. Step 4: Simplify right side
    591.66x = 378,969.38
  5. Step 5: Solve for x
    x = 378,969.38/591.66
  6. Step 6: Final answer
    x = 640.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.