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Finding the Fourth Proportional to 865.94, 1,195.02 and 492.95

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Solution

The fourth proportional to 865.94, 1,195.02 and 492.95 is: 680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.94 : 1,195.02 = 492.95 : x
  2. Step 2: Convert to fraction form
    865.94/1,195.02 = 492.95/x
  3. Step 3: Cross multiply
    865.94x = 1,195.02 × 492.95
  4. Step 4: Simplify right side
    865.94x = 589,079.13
  5. Step 5: Solve for x
    x = 589,079.13/865.94
  6. Step 6: Final answer
    x = 680.28

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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.