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Finding the Fourth Proportional to 998.51, 1,378.62 and 649.80

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Solution

The fourth proportional to 998.51, 1,378.62 and 649.80 is: 897.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.51 : 1,378.62 = 649.80 : x
  2. Step 2: Convert to fraction form
    998.51/1,378.62 = 649.80/x
  3. Step 3: Cross multiply
    998.51x = 1,378.62 × 649.80
  4. Step 4: Simplify right side
    998.51x = 895,827.28
  5. Step 5: Solve for x
    x = 895,827.28/998.51
  6. Step 6: Final answer
    x = 897.17

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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.