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Finding the Fourth Proportional to 590.67, 885.89 and 428.43

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Solution

The fourth proportional to 590.67, 885.89 and 428.43 is: 642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.67 : 885.89 = 428.43 : x
  2. Step 2: Convert to fraction form
    590.67/885.89 = 428.43/x
  3. Step 3: Cross multiply
    590.67x = 885.89 × 428.43
  4. Step 4: Simplify right side
    590.67x = 379,539.71
  5. Step 5: Solve for x
    x = 379,539.71/590.67
  6. Step 6: Final answer
    x = 642.56

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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.