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Finding the Fourth Proportional to 917.20, 1,375.80 and 810.28

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Solution

The fourth proportional to 917.20, 1,375.80 and 810.28 is: 1,215.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.20 : 1,375.80 = 810.28 : x
  2. Step 2: Convert to fraction form
    917.20/1,375.80 = 810.28/x
  3. Step 3: Cross multiply
    917.20x = 1,375.80 × 810.28
  4. Step 4: Simplify right side
    917.20x = 1,114,783.22
  5. Step 5: Solve for x
    x = 1,114,783.22/917.20
  6. Step 6: Final answer
    x = 1,215.42

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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.