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Finding the Fourth Proportional to 1,078.46, 1,487.67 and 728.54

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Solution

The fourth proportional to 1,078.46, 1,487.67 and 728.54 is: 1,004.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.46 : 1,487.67 = 728.54 : x
  2. Step 2: Convert to fraction form
    1,078.46/1,487.67 = 728.54/x
  3. Step 3: Cross multiply
    1,078.46x = 1,487.67 × 728.54
  4. Step 4: Simplify right side
    1,078.46x = 1,083,827.10
  5. Step 5: Solve for x
    x = 1,083,827.10/1,078.46
  6. Step 6: Final answer
    x = 1,004.98

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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.