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Finding the Fourth Proportional to 998.10, 1,377.71 and 666.63

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Solution

The fourth proportional to 998.10, 1,377.71 and 666.63 is: 920.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.10 : 1,377.71 = 666.63 : x
  2. Step 2: Convert to fraction form
    998.10/1,377.71 = 666.63/x
  3. Step 3: Cross multiply
    998.10x = 1,377.71 × 666.63
  4. Step 4: Simplify right side
    998.10x = 918,422.82
  5. Step 5: Solve for x
    x = 918,422.82/998.10
  6. Step 6: Final answer
    x = 920.17

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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.