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Finding the Fourth Proportional to 1,293.98, 1,939.44 and 471.72

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Solution

The fourth proportional to 1,293.98, 1,939.44 and 471.72 is: 707.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.98 : 1,939.44 = 471.72 : x
  2. Step 2: Convert to fraction form
    1,293.98/1,939.44 = 471.72/x
  3. Step 3: Cross multiply
    1,293.98x = 1,939.44 × 471.72
  4. Step 4: Simplify right side
    1,293.98x = 914,881.68
  5. Step 5: Solve for x
    x = 914,881.68/1,293.98
  6. Step 6: Final answer
    x = 707.03

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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.