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Finding the Fourth Proportional to 1,131.94, 1,697.76 and 310.28

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Solution

The fourth proportional to 1,131.94, 1,697.76 and 310.28 is: 465.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.94 : 1,697.76 = 310.28 : x
  2. Step 2: Convert to fraction form
    1,131.94/1,697.76 = 310.28/x
  3. Step 3: Cross multiply
    1,131.94x = 1,697.76 × 310.28
  4. Step 4: Simplify right side
    1,131.94x = 526,780.97
  5. Step 5: Solve for x
    x = 526,780.97/1,131.94
  6. Step 6: Final answer
    x = 465.38

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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.