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Finding the Fourth Proportional to 669.20, 1,006.20 and 563.60

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Solution

The fourth proportional to 669.20, 1,006.20 and 563.60 is: 847.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.20 : 1,006.20 = 563.60 : x
  2. Step 2: Convert to fraction form
    669.20/1,006.20 = 563.60/x
  3. Step 3: Cross multiply
    669.20x = 1,006.20 × 563.60
  4. Step 4: Simplify right side
    669.20x = 567,094.32
  5. Step 5: Solve for x
    x = 567,094.32/669.20
  6. Step 6: Final answer
    x = 847.42

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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.