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Finding the Fourth Proportional to 910.50, 1,365.21 and 563.28

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Solution

The fourth proportional to 910.50, 1,365.21 and 563.28 is: 844.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.50 : 1,365.21 = 563.28 : x
  2. Step 2: Convert to fraction form
    910.50/1,365.21 = 563.28/x
  3. Step 3: Cross multiply
    910.50x = 1,365.21 × 563.28
  4. Step 4: Simplify right side
    910.50x = 768,995.49
  5. Step 5: Solve for x
    x = 768,995.49/910.50
  6. Step 6: Final answer
    x = 844.59

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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.