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Finding the Fourth Proportional to 2,864.91, 4,296.91 and 785.07

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Solution

The fourth proportional to 2,864.91, 4,296.91 and 785.07 is: 1,177.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.91 : 4,296.91 = 785.07 : x
  2. Step 2: Convert to fraction form
    2,864.91/4,296.91 = 785.07/x
  3. Step 3: Cross multiply
    2,864.91x = 4,296.91 × 785.07
  4. Step 4: Simplify right side
    2,864.91x = 3,373,379.74
  5. Step 5: Solve for x
    x = 3,373,379.74/2,864.91
  6. Step 6: Final answer
    x = 1,177.48

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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.