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Finding the Fourth Proportional to 1,172.65, 1,758.99 and 306.98

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Solution

The fourth proportional to 1,172.65, 1,758.99 and 306.98 is: 460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.65 : 1,758.99 = 306.98 : x
  2. Step 2: Convert to fraction form
    1,172.65/1,758.99 = 306.98/x
  3. Step 3: Cross multiply
    1,172.65x = 1,758.99 × 306.98
  4. Step 4: Simplify right side
    1,172.65x = 539,974.75
  5. Step 5: Solve for x
    x = 539,974.75/1,172.65
  6. Step 6: Final answer
    x = 460.48

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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.