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Finding the Fourth Proportional to 1,780.42, 2,670.62 and 806.80

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Solution

The fourth proportional to 1,780.42, 2,670.62 and 806.80 is: 1,210.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.42 : 2,670.62 = 806.80 : x
  2. Step 2: Convert to fraction form
    1,780.42/2,670.62 = 806.80/x
  3. Step 3: Cross multiply
    1,780.42x = 2,670.62 × 806.80
  4. Step 4: Simplify right side
    1,780.42x = 2,154,656.22
  5. Step 5: Solve for x
    x = 2,154,656.22/1,780.42
  6. Step 6: Final answer
    x = 1,210.20

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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.