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Finding the Fourth Proportional to 722.94, 997.66 and 391.36

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Solution

The fourth proportional to 722.94, 997.66 and 391.36 is: 540.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.94 : 997.66 = 391.36 : x
  2. Step 2: Convert to fraction form
    722.94/997.66 = 391.36/x
  3. Step 3: Cross multiply
    722.94x = 997.66 × 391.36
  4. Step 4: Simplify right side
    722.94x = 390,444.22
  5. Step 5: Solve for x
    x = 390,444.22/722.94
  6. Step 6: Final answer
    x = 540.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.