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Finding the Fourth Proportional to 1,412.60, 1,949.38 and 783.11

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Solution

The fourth proportional to 1,412.60, 1,949.38 and 783.11 is: 1,080.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.60 : 1,949.38 = 783.11 : x
  2. Step 2: Convert to fraction form
    1,412.60/1,949.38 = 783.11/x
  3. Step 3: Cross multiply
    1,412.60x = 1,949.38 × 783.11
  4. Step 4: Simplify right side
    1,412.60x = 1,526,575.33
  5. Step 5: Solve for x
    x = 1,526,575.33/1,412.60
  6. Step 6: Final answer
    x = 1,080.69

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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.