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Finding the Fourth Proportional to 2,820.40, 4,230.56 and 768.40

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Solution

The fourth proportional to 2,820.40, 4,230.56 and 768.40 is: 1,152.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.40 : 4,230.56 = 768.40 : x
  2. Step 2: Convert to fraction form
    2,820.40/4,230.56 = 768.40/x
  3. Step 3: Cross multiply
    2,820.40x = 4,230.56 × 768.40
  4. Step 4: Simplify right side
    2,820.40x = 3,250,762.30
  5. Step 5: Solve for x
    x = 3,250,762.30/2,820.40
  6. Step 6: Final answer
    x = 1,152.59

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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.