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Finding the Fourth Proportional to 958.06, 1,433.52 and 547.48

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Solution

The fourth proportional to 958.06, 1,433.52 and 547.48 is: 819.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.06 : 1,433.52 = 547.48 : x
  2. Step 2: Convert to fraction form
    958.06/1,433.52 = 547.48/x
  3. Step 3: Cross multiply
    958.06x = 1,433.52 × 547.48
  4. Step 4: Simplify right side
    958.06x = 784,823.53
  5. Step 5: Solve for x
    x = 784,823.53/958.06
  6. Step 6: Final answer
    x = 819.18

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Why These Related Problems?

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