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Finding the Fourth Proportional to 718.90, 1,078.74 and 389.83

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Solution

The fourth proportional to 718.90, 1,078.74 and 389.83 is: 584.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.90 : 1,078.74 = 389.83 : x
  2. Step 2: Convert to fraction form
    718.90/1,078.74 = 389.83/x
  3. Step 3: Cross multiply
    718.90x = 1,078.74 × 389.83
  4. Step 4: Simplify right side
    718.90x = 420,525.21
  5. Step 5: Solve for x
    x = 420,525.21/718.90
  6. Step 6: Final answer
    x = 584.96

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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.