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Finding the Fourth Proportional to 1,272.81, 1,756.64 and 748.84

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Solution

The fourth proportional to 1,272.81, 1,756.64 and 748.84 is: 1,033.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.81 : 1,756.64 = 748.84 : x
  2. Step 2: Convert to fraction form
    1,272.81/1,756.64 = 748.84/x
  3. Step 3: Cross multiply
    1,272.81x = 1,756.64 × 748.84
  4. Step 4: Simplify right side
    1,272.81x = 1,315,442.30
  5. Step 5: Solve for x
    x = 1,315,442.30/1,272.81
  6. Step 6: Final answer
    x = 1,033.49

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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.