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Finding the Fourth Proportional to 1,412.64, 1,949.47 and 783.17

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Solution

The fourth proportional to 1,412.64, 1,949.47 and 783.17 is: 1,080.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.64 : 1,949.47 = 783.17 : x
  2. Step 2: Convert to fraction form
    1,412.64/1,949.47 = 783.17/x
  3. Step 3: Cross multiply
    1,412.64x = 1,949.47 × 783.17
  4. Step 4: Simplify right side
    1,412.64x = 1,526,762.03
  5. Step 5: Solve for x
    x = 1,526,762.03/1,412.64
  6. Step 6: Final answer
    x = 1,080.79

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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.