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Finding the Fourth Proportional to 1,485.63, 2,230.49 and 755.71

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Solution

The fourth proportional to 1,485.63, 2,230.49 and 755.71 is: 1,134.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.63 : 2,230.49 = 755.71 : x
  2. Step 2: Convert to fraction form
    1,485.63/2,230.49 = 755.71/x
  3. Step 3: Cross multiply
    1,485.63x = 2,230.49 × 755.71
  4. Step 4: Simplify right side
    1,485.63x = 1,685,599.91
  5. Step 5: Solve for x
    x = 1,685,599.91/1,485.63
  6. Step 6: Final answer
    x = 1,134.60

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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.