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Finding the Fourth Proportional to 590.78, 885.32 and 491.96

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Solution

The fourth proportional to 590.78, 885.32 and 491.96 is: 737.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.78 : 885.32 = 491.96 : x
  2. Step 2: Convert to fraction form
    590.78/885.32 = 491.96/x
  3. Step 3: Cross multiply
    590.78x = 885.32 × 491.96
  4. Step 4: Simplify right side
    590.78x = 435,542.03
  5. Step 5: Solve for x
    x = 435,542.03/590.78
  6. Step 6: Final answer
    x = 737.23

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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.