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Finding the Fourth Proportional to 1,364.14, 1,882.64 and 774.56

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Solution

The fourth proportional to 1,364.14, 1,882.64 and 774.56 is: 1,068.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.14 : 1,882.64 = 774.56 : x
  2. Step 2: Convert to fraction form
    1,364.14/1,882.64 = 774.56/x
  3. Step 3: Cross multiply
    1,364.14x = 1,882.64 × 774.56
  4. Step 4: Simplify right side
    1,364.14x = 1,458,224.28
  5. Step 5: Solve for x
    x = 1,458,224.28/1,364.14
  6. Step 6: Final answer
    x = 1,068.97

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1.5x scale

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.