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Finding the Fourth Proportional to 3,004.65, 4,506.62 and 813.56

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Solution

The fourth proportional to 3,004.65, 4,506.62 and 813.56 is: 1,220.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.65 : 4,506.62 = 813.56 : x
  2. Step 2: Convert to fraction form
    3,004.65/4,506.62 = 813.56/x
  3. Step 3: Cross multiply
    3,004.65x = 4,506.62 × 813.56
  4. Step 4: Simplify right side
    3,004.65x = 3,666,379.17
  5. Step 5: Solve for x
    x = 3,666,379.17/3,004.65
  6. Step 6: Final answer
    x = 1,220.24

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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.