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Finding the Fourth Proportional to 696.94, 1,045.91 and 264.09

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Solution

The fourth proportional to 696.94, 1,045.91 and 264.09 is: 396.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.94 : 1,045.91 = 264.09 : x
  2. Step 2: Convert to fraction form
    696.94/1,045.91 = 264.09/x
  3. Step 3: Cross multiply
    696.94x = 1,045.91 × 264.09
  4. Step 4: Simplify right side
    696.94x = 276,218.95
  5. Step 5: Solve for x
    x = 276,218.95/696.94
  6. Step 6: Final answer
    x = 396.33

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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.