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Finding the Fourth Proportional to 998.42, 1,499.07 and 650.66

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Solution

The fourth proportional to 998.42, 1,499.07 and 650.66 is: 976.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.42 : 1,499.07 = 650.66 : x
  2. Step 2: Convert to fraction form
    998.42/1,499.07 = 650.66/x
  3. Step 3: Cross multiply
    998.42x = 1,499.07 × 650.66
  4. Step 4: Simplify right side
    998.42x = 975,384.89
  5. Step 5: Solve for x
    x = 975,384.89/998.42
  6. Step 6: Final answer
    x = 976.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.