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Finding the Fourth Proportional to 981.74, 1,472.81 and 433.64

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Solution

The fourth proportional to 981.74, 1,472.81 and 433.64 is: 650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.74 : 1,472.81 = 433.64 : x
  2. Step 2: Convert to fraction form
    981.74/1,472.81 = 433.64/x
  3. Step 3: Cross multiply
    981.74x = 1,472.81 × 433.64
  4. Step 4: Simplify right side
    981.74x = 638,659.80
  5. Step 5: Solve for x
    x = 638,659.80/981.74
  6. Step 6: Final answer
    x = 650.54

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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.