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Finding the Fourth Proportional to 706.65, 1,055.27 and 699.02

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Solution

The fourth proportional to 706.65, 1,055.27 and 699.02 is: 1,043.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.65 : 1,055.27 = 699.02 : x
  2. Step 2: Convert to fraction form
    706.65/1,055.27 = 699.02/x
  3. Step 3: Cross multiply
    706.65x = 1,055.27 × 699.02
  4. Step 4: Simplify right side
    706.65x = 737,654.84
  5. Step 5: Solve for x
    x = 737,654.84/706.65
  6. Step 6: Final answer
    x = 1,043.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.