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Finding the Fourth Proportional to 997.05, 1,503.13 and 984.72

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Solution

The fourth proportional to 997.05, 1,503.13 and 984.72 is: 1,484.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.05 : 1,503.13 = 984.72 : x
  2. Step 2: Convert to fraction form
    997.05/1,503.13 = 984.72/x
  3. Step 3: Cross multiply
    997.05x = 1,503.13 × 984.72
  4. Step 4: Simplify right side
    997.05x = 1,480,162.17
  5. Step 5: Solve for x
    x = 1,480,162.17/997.05
  6. Step 6: Final answer
    x = 1,484.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.