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Finding the Fourth Proportional to 591.12, 882.90 and 428.72

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Solution

The fourth proportional to 591.12, 882.90 and 428.72 is: 640.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.12 : 882.90 = 428.72 : x
  2. Step 2: Convert to fraction form
    591.12/882.90 = 428.72/x
  3. Step 3: Cross multiply
    591.12x = 882.90 × 428.72
  4. Step 4: Simplify right side
    591.12x = 378,516.89
  5. Step 5: Solve for x
    x = 378,516.89/591.12
  6. Step 6: Final answer
    x = 640.34

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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.