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Finding the Fourth Proportional to 795.54, 1,094.60 and 777.12

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Solution

The fourth proportional to 795.54, 1,094.60 and 777.12 is: 1,069.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.54 : 1,094.60 = 777.12 : x
  2. Step 2: Convert to fraction form
    795.54/1,094.60 = 777.12/x
  3. Step 3: Cross multiply
    795.54x = 1,094.60 × 777.12
  4. Step 4: Simplify right side
    795.54x = 850,631.67
  5. Step 5: Solve for x
    x = 850,631.67/795.54
  6. Step 6: Final answer
    x = 1,069.25

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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.