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Finding the Fourth Proportional to 699.06, 966.51 and 668.46

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Solution

The fourth proportional to 699.06, 966.51 and 668.46 is: 924.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.06 : 966.51 = 668.46 : x
  2. Step 2: Convert to fraction form
    699.06/966.51 = 668.46/x
  3. Step 3: Cross multiply
    699.06x = 966.51 × 668.46
  4. Step 4: Simplify right side
    699.06x = 646,073.27
  5. Step 5: Solve for x
    x = 646,073.27/699.06
  6. Step 6: Final answer
    x = 924.20

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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.