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Finding the Fourth Proportional to 990.66, 1,484.61 and 552.12

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Solution

The fourth proportional to 990.66, 1,484.61 and 552.12 is: 827.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.66 : 1,484.61 = 552.12 : x
  2. Step 2: Convert to fraction form
    990.66/1,484.61 = 552.12/x
  3. Step 3: Cross multiply
    990.66x = 1,484.61 × 552.12
  4. Step 4: Simplify right side
    990.66x = 819,682.87
  5. Step 5: Solve for x
    x = 819,682.87/990.66
  6. Step 6: Final answer
    x = 827.41

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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.