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Finding the Fourth Proportional to 1,004.13, 1,384.41 and 649.44

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Solution

The fourth proportional to 1,004.13, 1,384.41 and 649.44 is: 895.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.13 : 1,384.41 = 649.44 : x
  2. Step 2: Convert to fraction form
    1,004.13/1,384.41 = 649.44/x
  3. Step 3: Cross multiply
    1,004.13x = 1,384.41 × 649.44
  4. Step 4: Simplify right side
    1,004.13x = 899,091.23
  5. Step 5: Solve for x
    x = 899,091.23/1,004.13
  6. Step 6: Final answer
    x = 895.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.