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Finding the Fourth Proportional to 1,104.25, 1,656.65 and 334.75

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Solution

The fourth proportional to 1,104.25, 1,656.65 and 334.75 is: 502.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.25 : 1,656.65 = 334.75 : x
  2. Step 2: Convert to fraction form
    1,104.25/1,656.65 = 334.75/x
  3. Step 3: Cross multiply
    1,104.25x = 1,656.65 × 334.75
  4. Step 4: Simplify right side
    1,104.25x = 554,563.59
  5. Step 5: Solve for x
    x = 554,563.59/1,104.25
  6. Step 6: Final answer
    x = 502.21

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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.