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Finding the Fourth Proportional to 911.79, 1,367.00 and 564.59

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Solution

The fourth proportional to 911.79, 1,367.00 and 564.59 is: 846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.79 : 1,367.00 = 564.59 : x
  2. Step 2: Convert to fraction form
    911.79/1,367.00 = 564.59/x
  3. Step 3: Cross multiply
    911.79x = 1,367.00 × 564.59
  4. Step 4: Simplify right side
    911.79x = 771,797.24
  5. Step 5: Solve for x
    x = 771,797.24/911.79
  6. Step 6: Final answer
    x = 846.46

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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.