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Finding the Fourth Proportional to 1,218.37, 1,679.38 and 952.34

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Solution

The fourth proportional to 1,218.37, 1,679.38 and 952.34 is: 1,312.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.37 : 1,679.38 = 952.34 : x
  2. Step 2: Convert to fraction form
    1,218.37/1,679.38 = 952.34/x
  3. Step 3: Cross multiply
    1,218.37x = 1,679.38 × 952.34
  4. Step 4: Simplify right side
    1,218.37x = 1,599,342.57
  5. Step 5: Solve for x
    x = 1,599,342.57/1,218.37
  6. Step 6: Final answer
    x = 1,312.69

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1.5x scale

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.