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Finding the Fourth Proportional to 693.89, 1,041.11 and 328.99

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Solution

The fourth proportional to 693.89, 1,041.11 and 328.99 is: 493.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.89 : 1,041.11 = 328.99 : x
  2. Step 2: Convert to fraction form
    693.89/1,041.11 = 328.99/x
  3. Step 3: Cross multiply
    693.89x = 1,041.11 × 328.99
  4. Step 4: Simplify right side
    693.89x = 342,514.78
  5. Step 5: Solve for x
    x = 342,514.78/693.89
  6. Step 6: Final answer
    x = 493.62

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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.