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Finding the Fourth Proportional to 1,011.34, 1,396.34 and 774.87

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Solution

The fourth proportional to 1,011.34, 1,396.34 and 774.87 is: 1,069.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.34 : 1,396.34 = 774.87 : x
  2. Step 2: Convert to fraction form
    1,011.34/1,396.34 = 774.87/x
  3. Step 3: Cross multiply
    1,011.34x = 1,396.34 × 774.87
  4. Step 4: Simplify right side
    1,011.34x = 1,081,972.87
  5. Step 5: Solve for x
    x = 1,081,972.87/1,011.34
  6. Step 6: Final answer
    x = 1,069.84

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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.