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Finding the Fourth Proportional to 515.83, 711.84 and 294.79

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Solution

The fourth proportional to 515.83, 711.84 and 294.79 is: 406.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.83 : 711.84 = 294.79 : x
  2. Step 2: Convert to fraction form
    515.83/711.84 = 294.79/x
  3. Step 3: Cross multiply
    515.83x = 711.84 × 294.79
  4. Step 4: Simplify right side
    515.83x = 209,843.31
  5. Step 5: Solve for x
    x = 209,843.31/515.83
  6. Step 6: Final answer
    x = 406.81

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