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Finding the Fourth Proportional to 988.07, 1,481.49 and 782.33

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Solution

The fourth proportional to 988.07, 1,481.49 and 782.33 is: 1,173.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.07 : 1,481.49 = 782.33 : x
  2. Step 2: Convert to fraction form
    988.07/1,481.49 = 782.33/x
  3. Step 3: Cross multiply
    988.07x = 1,481.49 × 782.33
  4. Step 4: Simplify right side
    988.07x = 1,159,006.66
  5. Step 5: Solve for x
    x = 1,159,006.66/988.07
  6. Step 6: Final answer
    x = 1,173.01

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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.