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Finding the Fourth Proportional to 989.18, 1,476.09 and 857.96

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Solution

The fourth proportional to 989.18, 1,476.09 and 857.96 is: 1,280.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.18 : 1,476.09 = 857.96 : x
  2. Step 2: Convert to fraction form
    989.18/1,476.09 = 857.96/x
  3. Step 3: Cross multiply
    989.18x = 1,476.09 × 857.96
  4. Step 4: Simplify right side
    989.18x = 1,266,426.18
  5. Step 5: Solve for x
    x = 1,266,426.18/989.18
  6. Step 6: Final answer
    x = 1,280.28

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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.