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Finding the Fourth Proportional to 1,271.96, 1,754.79 and 774.20

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Solution

The fourth proportional to 1,271.96, 1,754.79 and 774.20 is: 1,068.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.96 : 1,754.79 = 774.20 : x
  2. Step 2: Convert to fraction form
    1,271.96/1,754.79 = 774.20/x
  3. Step 3: Cross multiply
    1,271.96x = 1,754.79 × 774.20
  4. Step 4: Simplify right side
    1,271.96x = 1,358,558.42
  5. Step 5: Solve for x
    x = 1,358,558.42/1,271.96
  6. Step 6: Final answer
    x = 1,068.08

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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.