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Finding the Fourth Proportional to 1,300.78, 1,796.01 and 835.78

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Solution

The fourth proportional to 1,300.78, 1,796.01 and 835.78 is: 1,153.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.78 : 1,796.01 = 835.78 : x
  2. Step 2: Convert to fraction form
    1,300.78/1,796.01 = 835.78/x
  3. Step 3: Cross multiply
    1,300.78x = 1,796.01 × 835.78
  4. Step 4: Simplify right side
    1,300.78x = 1,501,069.24
  5. Step 5: Solve for x
    x = 1,501,069.24/1,300.78
  6. Step 6: Final answer
    x = 1,153.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.