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Finding the Fourth Proportional to 730.20, 1,093.68 and 566.60

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Solution

The fourth proportional to 730.20, 1,093.68 and 566.60 is: 848.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.20 : 1,093.68 = 566.60 : x
  2. Step 2: Convert to fraction form
    730.20/1,093.68 = 566.60/x
  3. Step 3: Cross multiply
    730.20x = 1,093.68 × 566.60
  4. Step 4: Simplify right side
    730.20x = 619,679.09
  5. Step 5: Solve for x
    x = 619,679.09/730.20
  6. Step 6: Final answer
    x = 848.64

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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.