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Finding the Fourth Proportional to 1,005.13, 1,385.79 and 650.44

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Solution

The fourth proportional to 1,005.13, 1,385.79 and 650.44 is: 896.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.13 : 1,385.79 = 650.44 : x
  2. Step 2: Convert to fraction form
    1,005.13/1,385.79 = 650.44/x
  3. Step 3: Cross multiply
    1,005.13x = 1,385.79 × 650.44
  4. Step 4: Simplify right side
    1,005.13x = 901,373.25
  5. Step 5: Solve for x
    x = 901,373.25/1,005.13
  6. Step 6: Final answer
    x = 896.77

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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.