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Finding the Fourth Proportional to 718, 1,078.48 and 683.04

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Solution

The fourth proportional to 718, 1,078.48 and 683.04 is: 1,025.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    718 : 1,078.48 = 683.04 : x
  2. Step 2: Convert to fraction form
    718/1,078.48 = 683.04/x
  3. Step 3: Cross multiply
    718x = 1,078.48 × 683.04
  4. Step 4: Simplify right side
    718x = 736,644.98
  5. Step 5: Solve for x
    x = 736,644.98/718
  6. Step 6: Final answer
    x = 1,025.97

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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.