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Finding the Fourth Proportional to 811.94, 1,212.06 and 776.48

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Solution

The fourth proportional to 811.94, 1,212.06 and 776.48 is: 1,159.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.94 : 1,212.06 = 776.48 : x
  2. Step 2: Convert to fraction form
    811.94/1,212.06 = 776.48/x
  3. Step 3: Cross multiply
    811.94x = 1,212.06 × 776.48
  4. Step 4: Simplify right side
    811.94x = 941,140.35
  5. Step 5: Solve for x
    x = 941,140.35/811.94
  6. Step 6: Final answer
    x = 1,159.13

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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.