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Finding the Fourth Proportional to 696.61, 1,045.09 and 349.08

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Solution

The fourth proportional to 696.61, 1,045.09 and 349.08 is: 523.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.61 : 1,045.09 = 349.08 : x
  2. Step 2: Convert to fraction form
    696.61/1,045.09 = 349.08/x
  3. Step 3: Cross multiply
    696.61x = 1,045.09 × 349.08
  4. Step 4: Simplify right side
    696.61x = 364,820.45
  5. Step 5: Solve for x
    x = 364,820.45/696.61
  6. Step 6: Final answer
    x = 523.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.