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Finding the Fourth Proportional to 723.11, 1,083.69 and 375.72

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Solution

The fourth proportional to 723.11, 1,083.69 and 375.72 is: 563.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.11 : 1,083.69 = 375.72 : x
  2. Step 2: Convert to fraction form
    723.11/1,083.69 = 375.72/x
  3. Step 3: Cross multiply
    723.11x = 1,083.69 × 375.72
  4. Step 4: Simplify right side
    723.11x = 407,156.71
  5. Step 5: Solve for x
    x = 407,156.71/723.11
  6. Step 6: Final answer
    x = 563.07

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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.