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Finding the Fourth Proportional to 990.65, 1,366.74 and 617.31

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Solution

The fourth proportional to 990.65, 1,366.74 and 617.31 is: 851.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.65 : 1,366.74 = 617.31 : x
  2. Step 2: Convert to fraction form
    990.65/1,366.74 = 617.31/x
  3. Step 3: Cross multiply
    990.65x = 1,366.74 × 617.31
  4. Step 4: Simplify right side
    990.65x = 843,702.27
  5. Step 5: Solve for x
    x = 843,702.27/990.65
  6. Step 6: Final answer
    x = 851.67

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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.