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Finding the Fourth Proportional to 823.94, 1,137 and 492.52

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Solution

The fourth proportional to 823.94, 1,137 and 492.52 is: 679.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.94 : 1,137 = 492.52 : x
  2. Step 2: Convert to fraction form
    823.94/1,137 = 492.52/x
  3. Step 3: Cross multiply
    823.94x = 1,137 × 492.52
  4. Step 4: Simplify right side
    823.94x = 559,995.24
  5. Step 5: Solve for x
    x = 559,995.24/823.94
  6. Step 6: Final answer
    x = 679.66

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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.