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Finding the Fourth Proportional to 1,379.72, 2,069.57 and 353.72

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Solution

The fourth proportional to 1,379.72, 2,069.57 and 353.72 is: 530.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.72 : 2,069.57 = 353.72 : x
  2. Step 2: Convert to fraction form
    1,379.72/2,069.57 = 353.72/x
  3. Step 3: Cross multiply
    1,379.72x = 2,069.57 × 353.72
  4. Step 4: Simplify right side
    1,379.72x = 732,037.95
  5. Step 5: Solve for x
    x = 732,037.95/1,379.72
  6. Step 6: Final answer
    x = 530.57

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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.