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Finding the Fourth Proportional to 515.68, 712 and 319.28

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Solution

The fourth proportional to 515.68, 712 and 319.28 is: 440.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.68 : 712 = 319.28 : x
  2. Step 2: Convert to fraction form
    515.68/712 = 319.28/x
  3. Step 3: Cross multiply
    515.68x = 712 × 319.28
  4. Step 4: Simplify right side
    515.68x = 227,327.36
  5. Step 5: Solve for x
    x = 227,327.36/515.68
  6. Step 6: Final answer
    x = 440.83

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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.