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Finding the Fourth Proportional to 1,293.15, 1,939.39 and 471.35

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Solution

The fourth proportional to 1,293.15, 1,939.39 and 471.35 is: 706.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.15 : 1,939.39 = 471.35 : x
  2. Step 2: Convert to fraction form
    1,293.15/1,939.39 = 471.35/x
  3. Step 3: Cross multiply
    1,293.15x = 1,939.39 × 471.35
  4. Step 4: Simplify right side
    1,293.15x = 914,129.12
  5. Step 5: Solve for x
    x = 914,129.12/1,293.15
  6. Step 6: Final answer
    x = 706.90

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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.