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Finding the Fourth Proportional to 726.02, 1,089.57 and 341.54

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Solution

The fourth proportional to 726.02, 1,089.57 and 341.54 is: 512.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.02 : 1,089.57 = 341.54 : x
  2. Step 2: Convert to fraction form
    726.02/1,089.57 = 341.54/x
  3. Step 3: Cross multiply
    726.02x = 1,089.57 × 341.54
  4. Step 4: Simplify right side
    726.02x = 372,131.74
  5. Step 5: Solve for x
    x = 372,131.74/726.02
  6. Step 6: Final answer
    x = 512.56

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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.