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Finding the Fourth Proportional to 734.97, 1,008.72 and 672.40

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Solution

The fourth proportional to 734.97, 1,008.72 and 672.40 is: 922.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.97 : 1,008.72 = 672.40 : x
  2. Step 2: Convert to fraction form
    734.97/1,008.72 = 672.40/x
  3. Step 3: Cross multiply
    734.97x = 1,008.72 × 672.40
  4. Step 4: Simplify right side
    734.97x = 678,263.33
  5. Step 5: Solve for x
    x = 678,263.33/734.97
  6. Step 6: Final answer
    x = 922.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.