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Finding the Fourth Proportional to 767.11, 1,152.37 and 474.83

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Solution

The fourth proportional to 767.11, 1,152.37 and 474.83 is: 713.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.11 : 1,152.37 = 474.83 : x
  2. Step 2: Convert to fraction form
    767.11/1,152.37 = 474.83/x
  3. Step 3: Cross multiply
    767.11x = 1,152.37 × 474.83
  4. Step 4: Simplify right side
    767.11x = 547,174.09
  5. Step 5: Solve for x
    x = 547,174.09/767.11
  6. Step 6: Final answer
    x = 713.29

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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.