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Finding the Fourth Proportional to 2,959.13, 4,438.70 and 768.18

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Solution

The fourth proportional to 2,959.13, 4,438.70 and 768.18 is: 1,152.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.13 : 4,438.70 = 768.18 : x
  2. Step 2: Convert to fraction form
    2,959.13/4,438.70 = 768.18/x
  3. Step 3: Cross multiply
    2,959.13x = 4,438.70 × 768.18
  4. Step 4: Simplify right side
    2,959.13x = 3,409,736.25
  5. Step 5: Solve for x
    x = 3,409,736.25/2,959.13
  6. Step 6: Final answer
    x = 1,152.28

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1.5x scale

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.