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Finding the Fourth Proportional to 730.35, 1,014.66 and 723.60

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Solution

The fourth proportional to 730.35, 1,014.66 and 723.60 is: 1,005.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.35 : 1,014.66 = 723.60 : x
  2. Step 2: Convert to fraction form
    730.35/1,014.66 = 723.60/x
  3. Step 3: Cross multiply
    730.35x = 1,014.66 × 723.60
  4. Step 4: Simplify right side
    730.35x = 734,207.98
  5. Step 5: Solve for x
    x = 734,207.98/730.35
  6. Step 6: Final answer
    x = 1,005.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.