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Finding the Fourth Proportional to 1,090.06, 1,504.78 and 697.62

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Solution

The fourth proportional to 1,090.06, 1,504.78 and 697.62 is: 963.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.06 : 1,504.78 = 697.62 : x
  2. Step 2: Convert to fraction form
    1,090.06/1,504.78 = 697.62/x
  3. Step 3: Cross multiply
    1,090.06x = 1,504.78 × 697.62
  4. Step 4: Simplify right side
    1,090.06x = 1,049,764.62
  5. Step 5: Solve for x
    x = 1,049,764.62/1,090.06
  6. Step 6: Final answer
    x = 963.03

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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.