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Finding the Fourth Proportional to 1,271.16, 1,753.38 and 773.28

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Solution

The fourth proportional to 1,271.16, 1,753.38 and 773.28 is: 1,066.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.16 : 1,753.38 = 773.28 : x
  2. Step 2: Convert to fraction form
    1,271.16/1,753.38 = 773.28/x
  3. Step 3: Cross multiply
    1,271.16x = 1,753.38 × 773.28
  4. Step 4: Simplify right side
    1,271.16x = 1,355,853.69
  5. Step 5: Solve for x
    x = 1,355,853.69/1,271.16
  6. Step 6: Final answer
    x = 1,066.63

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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.