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Finding the Fourth Proportional to 591.76, 817.48 and 505.36

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Solution

The fourth proportional to 591.76, 817.48 and 505.36 is: 698.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.76 : 817.48 = 505.36 : x
  2. Step 2: Convert to fraction form
    591.76/817.48 = 505.36/x
  3. Step 3: Cross multiply
    591.76x = 817.48 × 505.36
  4. Step 4: Simplify right side
    591.76x = 413,121.69
  5. Step 5: Solve for x
    x = 413,121.69/591.76
  6. Step 6: Final answer
    x = 698.12

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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.