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Finding the Fourth Proportional to 988.02, 1,362.69 and 921.78

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Solution

The fourth proportional to 988.02, 1,362.69 and 921.78 is: 1,271.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.02 : 1,362.69 = 921.78 : x
  2. Step 2: Convert to fraction form
    988.02/1,362.69 = 921.78/x
  3. Step 3: Cross multiply
    988.02x = 1,362.69 × 921.78
  4. Step 4: Simplify right side
    988.02x = 1,256,100.39
  5. Step 5: Solve for x
    x = 1,256,100.39/988.02
  6. Step 6: Final answer
    x = 1,271.33

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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.