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Finding the Fourth Proportional to 730.60, 1,098.60 and 611.80

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Solution

The fourth proportional to 730.60, 1,098.60 and 611.80 is: 919.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.60 : 1,098.60 = 611.80 : x
  2. Step 2: Convert to fraction form
    730.60/1,098.60 = 611.80/x
  3. Step 3: Cross multiply
    730.60x = 1,098.60 × 611.80
  4. Step 4: Simplify right side
    730.60x = 672,123.48
  5. Step 5: Solve for x
    x = 672,123.48/730.60
  6. Step 6: Final answer
    x = 919.96

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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.