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Finding the Fourth Proportional to 583.61, 806.09 and 513.72

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Solution

The fourth proportional to 583.61, 806.09 and 513.72 is: 709.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.61 : 806.09 = 513.72 : x
  2. Step 2: Convert to fraction form
    583.61/806.09 = 513.72/x
  3. Step 3: Cross multiply
    583.61x = 806.09 × 513.72
  4. Step 4: Simplify right side
    583.61x = 414,101.99
  5. Step 5: Solve for x
    x = 414,101.99/583.61
  6. Step 6: Final answer
    x = 709.56

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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.