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Finding the Fourth Proportional to 952.40, 1,427.60 and 519.36

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Solution

The fourth proportional to 952.40, 1,427.60 and 519.36 is: 778.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.40 : 1,427.60 = 519.36 : x
  2. Step 2: Convert to fraction form
    952.40/1,427.60 = 519.36/x
  3. Step 3: Cross multiply
    952.40x = 1,427.60 × 519.36
  4. Step 4: Simplify right side
    952.40x = 741,438.34
  5. Step 5: Solve for x
    x = 741,438.34/952.40
  6. Step 6: Final answer
    x = 778.49

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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.