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Finding the Fourth Proportional to 1,101.66, 1,520.31 and 681.93

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Solution

The fourth proportional to 1,101.66, 1,520.31 and 681.93 is: 941.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.66 : 1,520.31 = 681.93 : x
  2. Step 2: Convert to fraction form
    1,101.66/1,520.31 = 681.93/x
  3. Step 3: Cross multiply
    1,101.66x = 1,520.31 × 681.93
  4. Step 4: Simplify right side
    1,101.66x = 1,036,745.00
  5. Step 5: Solve for x
    x = 1,036,745.00/1,101.66
  6. Step 6: Final answer
    x = 941.08

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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.