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Finding the Fourth Proportional to 746.12, 1,116.90 and 668.06

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Solution

The fourth proportional to 746.12, 1,116.90 and 668.06 is: 1,000.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.12 : 1,116.90 = 668.06 : x
  2. Step 2: Convert to fraction form
    746.12/1,116.90 = 668.06/x
  3. Step 3: Cross multiply
    746.12x = 1,116.90 × 668.06
  4. Step 4: Simplify right side
    746.12x = 746,156.21
  5. Step 5: Solve for x
    x = 746,156.21/746.12
  6. Step 6: Final answer
    x = 1,000.05

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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.