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Finding the Fourth Proportional to 590.28, 885.06 and 428.10

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Solution

The fourth proportional to 590.28, 885.06 and 428.10 is: 641.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.28 : 885.06 = 428.10 : x
  2. Step 2: Convert to fraction form
    590.28/885.06 = 428.10/x
  3. Step 3: Cross multiply
    590.28x = 885.06 × 428.10
  4. Step 4: Simplify right side
    590.28x = 378,894.19
  5. Step 5: Solve for x
    x = 378,894.19/590.28
  6. Step 6: Final answer
    x = 641.89

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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.