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Finding the Fourth Proportional to 696.07, 1,042.04 and 666.00

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Solution

The fourth proportional to 696.07, 1,042.04 and 666.00 is: 997.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.07 : 1,042.04 = 666.00 : x
  2. Step 2: Convert to fraction form
    696.07/1,042.04 = 666.00/x
  3. Step 3: Cross multiply
    696.07x = 1,042.04 × 666.00
  4. Step 4: Simplify right side
    696.07x = 693,995.50
  5. Step 5: Solve for x
    x = 693,995.50/696.07
  6. Step 6: Final answer
    x = 997.02

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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.