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Finding the Fourth Proportional to 990.30, 1,366.74 and 946.56

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Solution

The fourth proportional to 990.30, 1,366.74 and 946.56 is: 1,306.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.30 : 1,366.74 = 946.56 : x
  2. Step 2: Convert to fraction form
    990.30/1,366.74 = 946.56/x
  3. Step 3: Cross multiply
    990.30x = 1,366.74 × 946.56
  4. Step 4: Simplify right side
    990.30x = 1,293,701.41
  5. Step 5: Solve for x
    x = 1,293,701.41/990.30
  6. Step 6: Final answer
    x = 1,306.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.