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Finding the Fourth Proportional to 1,040.26, 1,551.85 and 930.82

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Solution

The fourth proportional to 1,040.26, 1,551.85 and 930.82 is: 1,388.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.26 : 1,551.85 = 930.82 : x
  2. Step 2: Convert to fraction form
    1,040.26/1,551.85 = 930.82/x
  3. Step 3: Cross multiply
    1,040.26x = 1,551.85 × 930.82
  4. Step 4: Simplify right side
    1,040.26x = 1,444,493.02
  5. Step 5: Solve for x
    x = 1,444,493.02/1,040.26
  6. Step 6: Final answer
    x = 1,388.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.