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Finding the Fourth Proportional to 726.91, 1,090.07 and 356.48

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Solution

The fourth proportional to 726.91, 1,090.07 and 356.48 is: 534.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.91 : 1,090.07 = 356.48 : x
  2. Step 2: Convert to fraction form
    726.91/1,090.07 = 356.48/x
  3. Step 3: Cross multiply
    726.91x = 1,090.07 × 356.48
  4. Step 4: Simplify right side
    726.91x = 388,588.15
  5. Step 5: Solve for x
    x = 388,588.15/726.91
  6. Step 6: Final answer
    x = 534.58

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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.