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Finding the Fourth Proportional to 585.96, 806.22 and 571.56

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Solution

The fourth proportional to 585.96, 806.22 and 571.56 is: 786.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.96 : 806.22 = 571.56 : x
  2. Step 2: Convert to fraction form
    585.96/806.22 = 571.56/x
  3. Step 3: Cross multiply
    585.96x = 806.22 × 571.56
  4. Step 4: Simplify right side
    585.96x = 460,803.10
  5. Step 5: Solve for x
    x = 460,803.10/585.96
  6. Step 6: Final answer
    x = 786.41

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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.