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Finding the Fourth Proportional to 730.41, 1,098.36 and 621.06

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Solution

The fourth proportional to 730.41, 1,098.36 and 621.06 is: 933.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.41 : 1,098.36 = 621.06 : x
  2. Step 2: Convert to fraction form
    730.41/1,098.36 = 621.06/x
  3. Step 3: Cross multiply
    730.41x = 1,098.36 × 621.06
  4. Step 4: Simplify right side
    730.41x = 682,147.46
  5. Step 5: Solve for x
    x = 682,147.46/730.41
  6. Step 6: Final answer
    x = 933.92

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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.