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Finding the Fourth Proportional to 1,295.04, 1,939.70 and 930.54

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Solution

The fourth proportional to 1,295.04, 1,939.70 and 930.54 is: 1,393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.04 : 1,939.70 = 930.54 : x
  2. Step 2: Convert to fraction form
    1,295.04/1,939.70 = 930.54/x
  3. Step 3: Cross multiply
    1,295.04x = 1,939.70 × 930.54
  4. Step 4: Simplify right side
    1,295.04x = 1,804,968.44
  5. Step 5: Solve for x
    x = 1,804,968.44/1,295.04
  6. Step 6: Final answer
    x = 1,393.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.