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Finding the Fourth Proportional to 781.36, 1,174.74 and 760.84

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Solution

The fourth proportional to 781.36, 1,174.74 and 760.84 is: 1,143.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.36 : 1,174.74 = 760.84 : x
  2. Step 2: Convert to fraction form
    781.36/1,174.74 = 760.84/x
  3. Step 3: Cross multiply
    781.36x = 1,174.74 × 760.84
  4. Step 4: Simplify right side
    781.36x = 893,789.18
  5. Step 5: Solve for x
    x = 893,789.18/781.36
  6. Step 6: Final answer
    x = 1,143.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.