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Finding the Fourth Proportional to 865.49, 1,299.68 and 858.77

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Solution

The fourth proportional to 865.49, 1,299.68 and 858.77 is: 1,289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.49 : 1,299.68 = 858.77 : x
  2. Step 2: Convert to fraction form
    865.49/1,299.68 = 858.77/x
  3. Step 3: Cross multiply
    865.49x = 1,299.68 × 858.77
  4. Step 4: Simplify right side
    865.49x = 1,116,121.90
  5. Step 5: Solve for x
    x = 1,116,121.90/865.49
  6. Step 6: Final answer
    x = 1,289.58

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1.5x scale

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.