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Finding the Fourth Proportional to 1,114, 1,671.09 and 344.50

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Solution

The fourth proportional to 1,114, 1,671.09 and 344.50 is: 516.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114 : 1,671.09 = 344.50 : x
  2. Step 2: Convert to fraction form
    1,114/1,671.09 = 344.50/x
  3. Step 3: Cross multiply
    1,114x = 1,671.09 × 344.50
  4. Step 4: Simplify right side
    1,114x = 575,690.51
  5. Step 5: Solve for x
    x = 575,690.51/1,114
  6. Step 6: Final answer
    x = 516.78

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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.