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Finding the Fourth Proportional to 917.63, 1,375.76 and 552.34

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Solution

The fourth proportional to 917.63, 1,375.76 and 552.34 is: 828.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.63 : 1,375.76 = 552.34 : x
  2. Step 2: Convert to fraction form
    917.63/1,375.76 = 552.34/x
  3. Step 3: Cross multiply
    917.63x = 1,375.76 × 552.34
  4. Step 4: Simplify right side
    917.63x = 759,880.40
  5. Step 5: Solve for x
    x = 759,880.40/917.63
  6. Step 6: Final answer
    x = 828.09

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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.