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Finding the Fourth Proportional to 1,131.53, 1,697.29 and 309.74

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Solution

The fourth proportional to 1,131.53, 1,697.29 and 309.74 is: 464.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.53 : 1,697.29 = 309.74 : x
  2. Step 2: Convert to fraction form
    1,131.53/1,697.29 = 309.74/x
  3. Step 3: Cross multiply
    1,131.53x = 1,697.29 × 309.74
  4. Step 4: Simplify right side
    1,131.53x = 525,718.60
  5. Step 5: Solve for x
    x = 525,718.60/1,131.53
  6. Step 6: Final answer
    x = 464.61

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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.