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Finding the Fourth Proportional to 1,004.53, 1,506.86 and 311.26

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Solution

The fourth proportional to 1,004.53, 1,506.86 and 311.26 is: 466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.53 : 1,506.86 = 311.26 : x
  2. Step 2: Convert to fraction form
    1,004.53/1,506.86 = 311.26/x
  3. Step 3: Cross multiply
    1,004.53x = 1,506.86 × 311.26
  4. Step 4: Simplify right side
    1,004.53x = 469,025.24
  5. Step 5: Solve for x
    x = 469,025.24/1,004.53
  6. Step 6: Final answer
    x = 466.91

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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.