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Finding the Fourth Proportional to 794.66, 1,094.36 and 777.70

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Solution

The fourth proportional to 794.66, 1,094.36 and 777.70 is: 1,071.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.66 : 1,094.36 = 777.70 : x
  2. Step 2: Convert to fraction form
    794.66/1,094.36 = 777.70/x
  3. Step 3: Cross multiply
    794.66x = 1,094.36 × 777.70
  4. Step 4: Simplify right side
    794.66x = 851,083.77
  5. Step 5: Solve for x
    x = 851,083.77/794.66
  6. Step 6: Final answer
    x = 1,071.00

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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.