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Finding the Fourth Proportional to 591.09, 814.73 and 472.86

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Solution

The fourth proportional to 591.09, 814.73 and 472.86 is: 651.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.09 : 814.73 = 472.86 : x
  2. Step 2: Convert to fraction form
    591.09/814.73 = 472.86/x
  3. Step 3: Cross multiply
    591.09x = 814.73 × 472.86
  4. Step 4: Simplify right side
    591.09x = 385,253.23
  5. Step 5: Solve for x
    x = 385,253.23/591.09
  6. Step 6: Final answer
    x = 651.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.