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Finding the Fourth Proportional to 1,104.27, 1,656.74 and 754.30

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Solution

The fourth proportional to 1,104.27, 1,656.74 and 754.30 is: 1,131.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.27 : 1,656.74 = 754.30 : x
  2. Step 2: Convert to fraction form
    1,104.27/1,656.74 = 754.30/x
  3. Step 3: Cross multiply
    1,104.27x = 1,656.74 × 754.30
  4. Step 4: Simplify right side
    1,104.27x = 1,249,678.98
  5. Step 5: Solve for x
    x = 1,249,678.98/1,104.27
  6. Step 6: Final answer
    x = 1,131.68

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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.