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Finding the Fourth Proportional to 1,370.52, 1,893.78 and 952.56

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Solution

The fourth proportional to 1,370.52, 1,893.78 and 952.56 is: 1,316.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.52 : 1,893.78 = 952.56 : x
  2. Step 2: Convert to fraction form
    1,370.52/1,893.78 = 952.56/x
  3. Step 3: Cross multiply
    1,370.52x = 1,893.78 × 952.56
  4. Step 4: Simplify right side
    1,370.52x = 1,803,939.08
  5. Step 5: Solve for x
    x = 1,803,939.08/1,370.52
  6. Step 6: Final answer
    x = 1,316.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.