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Finding the Fourth Proportional to 1,282.19, 1,768.84 and 784.64

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Solution

The fourth proportional to 1,282.19, 1,768.84 and 784.64 is: 1,082.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.19 : 1,768.84 = 784.64 : x
  2. Step 2: Convert to fraction form
    1,282.19/1,768.84 = 784.64/x
  3. Step 3: Cross multiply
    1,282.19x = 1,768.84 × 784.64
  4. Step 4: Simplify right side
    1,282.19x = 1,387,905.08
  5. Step 5: Solve for x
    x = 1,387,905.08/1,282.19
  6. Step 6: Final answer
    x = 1,082.45

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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.