Home / 1,131.60-1,697.46-309.77

Finding the Fourth Proportional to 1,131.60, 1,697.46 and 309.77

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Solution

The fourth proportional to 1,131.60, 1,697.46 and 309.77 is: 464.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.60 : 1,697.46 = 309.77 : x
  2. Step 2: Convert to fraction form
    1,131.60/1,697.46 = 309.77/x
  3. Step 3: Cross multiply
    1,131.60x = 1,697.46 × 309.77
  4. Step 4: Simplify right side
    1,131.60x = 525,818.90
  5. Step 5: Solve for x
    x = 525,818.90/1,131.60
  6. Step 6: Final answer
    x = 464.67

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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.