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Finding the Fourth Proportional to 730.02, 1,093.95 and 440.76

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Solution

The fourth proportional to 730.02, 1,093.95 and 440.76 is: 660.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.02 : 1,093.95 = 440.76 : x
  2. Step 2: Convert to fraction form
    730.02/1,093.95 = 440.76/x
  3. Step 3: Cross multiply
    730.02x = 1,093.95 × 440.76
  4. Step 4: Simplify right side
    730.02x = 482,169.40
  5. Step 5: Solve for x
    x = 482,169.40/730.02
  6. Step 6: Final answer
    x = 660.49

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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.