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Finding the Fourth Proportional to 1,184.26, 1,777.71 and 697.66

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Solution

The fourth proportional to 1,184.26, 1,777.71 and 697.66 is: 1,047.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.26 : 1,777.71 = 697.66 : x
  2. Step 2: Convert to fraction form
    1,184.26/1,777.71 = 697.66/x
  3. Step 3: Cross multiply
    1,184.26x = 1,777.71 × 697.66
  4. Step 4: Simplify right side
    1,184.26x = 1,240,237.16
  5. Step 5: Solve for x
    x = 1,240,237.16/1,184.26
  6. Step 6: Final answer
    x = 1,047.27

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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.