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Finding the Fourth Proportional to 718.35, 1,074.78 and 393.95

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Solution

The fourth proportional to 718.35, 1,074.78 and 393.95 is: 589.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.35 : 1,074.78 = 393.95 : x
  2. Step 2: Convert to fraction form
    718.35/1,074.78 = 393.95/x
  3. Step 3: Cross multiply
    718.35x = 1,074.78 × 393.95
  4. Step 4: Simplify right side
    718.35x = 423,404.21
  5. Step 5: Solve for x
    x = 423,404.21/718.35
  6. Step 6: Final answer
    x = 589.41

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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.