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Finding the Fourth Proportional to 992.94, 1,371.91 and 784.72

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Solution

The fourth proportional to 992.94, 1,371.91 and 784.72 is: 1,084.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.94 : 1,371.91 = 784.72 : x
  2. Step 2: Convert to fraction form
    992.94/1,371.91 = 784.72/x
  3. Step 3: Cross multiply
    992.94x = 1,371.91 × 784.72
  4. Step 4: Simplify right side
    992.94x = 1,076,558.36
  5. Step 5: Solve for x
    x = 1,076,558.36/992.94
  6. Step 6: Final answer
    x = 1,084.21

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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.