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Finding the Fourth Proportional to 992.88, 1,476.95 and 982.35

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Solution

The fourth proportional to 992.88, 1,476.95 and 982.35 is: 1,461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.88 : 1,476.95 = 982.35 : x
  2. Step 2: Convert to fraction form
    992.88/1,476.95 = 982.35/x
  3. Step 3: Cross multiply
    992.88x = 1,476.95 × 982.35
  4. Step 4: Simplify right side
    992.88x = 1,450,876.92
  5. Step 5: Solve for x
    x = 1,450,876.92/992.88
  6. Step 6: Final answer
    x = 1,461.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.