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Finding the Fourth Proportional to 1,752.12, 2,628.42 and 778.20

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Solution

The fourth proportional to 1,752.12, 2,628.42 and 778.20 is: 1,167.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.12 : 2,628.42 = 778.20 : x
  2. Step 2: Convert to fraction form
    1,752.12/2,628.42 = 778.20/x
  3. Step 3: Cross multiply
    1,752.12x = 2,628.42 × 778.20
  4. Step 4: Simplify right side
    1,752.12x = 2,045,436.44
  5. Step 5: Solve for x
    x = 2,045,436.44/1,752.12
  6. Step 6: Final answer
    x = 1,167.41

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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.