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Finding the Fourth Proportional to 722.08, 1,083.90 and 397.72

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Solution

The fourth proportional to 722.08, 1,083.90 and 397.72 is: 597.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.08 : 1,083.90 = 397.72 : x
  2. Step 2: Convert to fraction form
    722.08/1,083.90 = 397.72/x
  3. Step 3: Cross multiply
    722.08x = 1,083.90 × 397.72
  4. Step 4: Simplify right side
    722.08x = 431,088.71
  5. Step 5: Solve for x
    x = 431,088.71/722.08
  6. Step 6: Final answer
    x = 597.01

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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.