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Finding the Fourth Proportional to 865.99, 1,300.43 and 859.27

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Solution

The fourth proportional to 865.99, 1,300.43 and 859.27 is: 1,290.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.99 : 1,300.43 = 859.27 : x
  2. Step 2: Convert to fraction form
    865.99/1,300.43 = 859.27/x
  3. Step 3: Cross multiply
    865.99x = 1,300.43 × 859.27
  4. Step 4: Simplify right side
    865.99x = 1,117,416.19
  5. Step 5: Solve for x
    x = 1,117,416.19/865.99
  6. Step 6: Final answer
    x = 1,290.33

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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.