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Finding the Fourth Proportional to 718.63, 1,078.34 and 411.09

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Solution

The fourth proportional to 718.63, 1,078.34 and 411.09 is: 616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.63 : 1,078.34 = 411.09 : x
  2. Step 2: Convert to fraction form
    718.63/1,078.34 = 411.09/x
  3. Step 3: Cross multiply
    718.63x = 1,078.34 × 411.09
  4. Step 4: Simplify right side
    718.63x = 443,290.71
  5. Step 5: Solve for x
    x = 443,290.71/718.63
  6. Step 6: Final answer
    x = 616.85

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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.