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Finding the Fourth Proportional to 845.01, 1,164.79 and 777.12

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Solution

The fourth proportional to 845.01, 1,164.79 and 777.12 is: 1,071.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.01 : 1,164.79 = 777.12 : x
  2. Step 2: Convert to fraction form
    845.01/1,164.79 = 777.12/x
  3. Step 3: Cross multiply
    845.01x = 1,164.79 × 777.12
  4. Step 4: Simplify right side
    845.01x = 905,187.49
  5. Step 5: Solve for x
    x = 905,187.49/845.01
  6. Step 6: Final answer
    x = 1,071.21

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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.