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Finding the Fourth Proportional to 730.08, 1,087.74 and 693.36

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Solution

The fourth proportional to 730.08, 1,087.74 and 693.36 is: 1,033.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.08 : 1,087.74 = 693.36 : x
  2. Step 2: Convert to fraction form
    730.08/1,087.74 = 693.36/x
  3. Step 3: Cross multiply
    730.08x = 1,087.74 × 693.36
  4. Step 4: Simplify right side
    730.08x = 754,195.41
  5. Step 5: Solve for x
    x = 754,195.41/730.08
  6. Step 6: Final answer
    x = 1,033.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.