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Finding the Fourth Proportional to 715.76, 1,074.25 and 283.22

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Solution

The fourth proportional to 715.76, 1,074.25 and 283.22 is: 425.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.76 : 1,074.25 = 283.22 : x
  2. Step 2: Convert to fraction form
    715.76/1,074.25 = 283.22/x
  3. Step 3: Cross multiply
    715.76x = 1,074.25 × 283.22
  4. Step 4: Simplify right side
    715.76x = 304,251.06
  5. Step 5: Solve for x
    x = 304,251.06/715.76
  6. Step 6: Final answer
    x = 425.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.