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Finding the Fourth Proportional to 696.68, 1,046.94 and 654.44

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Solution

The fourth proportional to 696.68, 1,046.94 and 654.44 is: 983.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.68 : 1,046.94 = 654.44 : x
  2. Step 2: Convert to fraction form
    696.68/1,046.94 = 654.44/x
  3. Step 3: Cross multiply
    696.68x = 1,046.94 × 654.44
  4. Step 4: Simplify right side
    696.68x = 685,159.41
  5. Step 5: Solve for x
    x = 685,159.41/696.68
  6. Step 6: Final answer
    x = 983.46

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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.