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Finding the Fourth Proportional to 696.75, 1,045.13 and 264.08

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Solution

The fourth proportional to 696.75, 1,045.13 and 264.08 is: 396.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.75 : 1,045.13 = 264.08 : x
  2. Step 2: Convert to fraction form
    696.75/1,045.13 = 264.08/x
  3. Step 3: Cross multiply
    696.75x = 1,045.13 × 264.08
  4. Step 4: Simplify right side
    696.75x = 275,991.38
  5. Step 5: Solve for x
    x = 275,991.38/696.75
  6. Step 6: Final answer
    x = 396.11

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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.