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Finding the Fourth Proportional to 908.03, 1,253.67 and 697.82

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Solution

The fourth proportional to 908.03, 1,253.67 and 697.82 is: 963.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.03 : 1,253.67 = 697.82 : x
  2. Step 2: Convert to fraction form
    908.03/1,253.67 = 697.82/x
  3. Step 3: Cross multiply
    908.03x = 1,253.67 × 697.82
  4. Step 4: Simplify right side
    908.03x = 874,837.05
  5. Step 5: Solve for x
    x = 874,837.05/908.03
  6. Step 6: Final answer
    x = 963.45

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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.