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Finding the Fourth Proportional to 786.84, 1,085.77 and 492

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Solution

The fourth proportional to 786.84, 1,085.77 and 492 is: 678.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.84 : 1,085.77 = 492 : x
  2. Step 2: Convert to fraction form
    786.84/1,085.77 = 492/x
  3. Step 3: Cross multiply
    786.84x = 1,085.77 × 492
  4. Step 4: Simplify right side
    786.84x = 534,198.84
  5. Step 5: Solve for x
    x = 534,198.84/786.84
  6. Step 6: Final answer
    x = 678.92

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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.