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Finding the Fourth Proportional to 1,131.78, 1,697.67 and 310.02

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Solution

The fourth proportional to 1,131.78, 1,697.67 and 310.02 is: 465.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.78 : 1,697.67 = 310.02 : x
  2. Step 2: Convert to fraction form
    1,131.78/1,697.67 = 310.02/x
  3. Step 3: Cross multiply
    1,131.78x = 1,697.67 × 310.02
  4. Step 4: Simplify right side
    1,131.78x = 526,311.65
  5. Step 5: Solve for x
    x = 526,311.65/1,131.78
  6. Step 6: Final answer
    x = 465.03

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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.