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Finding the Fourth Proportional to 1,267.13, 1,748.69 and 736.01

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Solution

The fourth proportional to 1,267.13, 1,748.69 and 736.01 is: 1,015.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.13 : 1,748.69 = 736.01 : x
  2. Step 2: Convert to fraction form
    1,267.13/1,748.69 = 736.01/x
  3. Step 3: Cross multiply
    1,267.13x = 1,748.69 × 736.01
  4. Step 4: Simplify right side
    1,267.13x = 1,287,045.30
  5. Step 5: Solve for x
    x = 1,287,045.30/1,267.13
  6. Step 6: Final answer
    x = 1,015.72

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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.