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Finding the Fourth Proportional to 1,046.98, 1,444.44 and 648.46

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Solution

The fourth proportional to 1,046.98, 1,444.44 and 648.46 is: 894.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.98 : 1,444.44 = 648.46 : x
  2. Step 2: Convert to fraction form
    1,046.98/1,444.44 = 648.46/x
  3. Step 3: Cross multiply
    1,046.98x = 1,444.44 × 648.46
  4. Step 4: Simplify right side
    1,046.98x = 936,661.56
  5. Step 5: Solve for x
    x = 936,661.56/1,046.98
  6. Step 6: Final answer
    x = 894.63

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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.