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Finding the Fourth Proportional to 1,121.64, 1,682.91 and 504.93

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Solution

The fourth proportional to 1,121.64, 1,682.91 and 504.93 is: 757.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.64 : 1,682.91 = 504.93 : x
  2. Step 2: Convert to fraction form
    1,121.64/1,682.91 = 504.93/x
  3. Step 3: Cross multiply
    1,121.64x = 1,682.91 × 504.93
  4. Step 4: Simplify right side
    1,121.64x = 849,751.75
  5. Step 5: Solve for x
    x = 849,751.75/1,121.64
  6. Step 6: Final answer
    x = 757.60

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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.