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Finding the Fourth Proportional to 864.87, 1,289.77 and 816.34

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Solution

The fourth proportional to 864.87, 1,289.77 and 816.34 is: 1,217.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.87 : 1,289.77 = 816.34 : x
  2. Step 2: Convert to fraction form
    864.87/1,289.77 = 816.34/x
  3. Step 3: Cross multiply
    864.87x = 1,289.77 × 816.34
  4. Step 4: Simplify right side
    864.87x = 1,052,890.84
  5. Step 5: Solve for x
    x = 1,052,890.84/864.87
  6. Step 6: Final answer
    x = 1,217.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.