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Finding the Fourth Proportional to 591.71, 817.09 and 561.13

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Solution

The fourth proportional to 591.71, 817.09 and 561.13 is: 774.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.71 : 817.09 = 561.13 : x
  2. Step 2: Convert to fraction form
    591.71/817.09 = 561.13/x
  3. Step 3: Cross multiply
    591.71x = 817.09 × 561.13
  4. Step 4: Simplify right side
    591.71x = 458,490.27
  5. Step 5: Solve for x
    x = 458,490.27/591.71
  6. Step 6: Final answer
    x = 774.86

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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.