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Finding the Fourth Proportional to 694.35, 1,040.63 and 328.64

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Solution

The fourth proportional to 694.35, 1,040.63 and 328.64 is: 492.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.35 : 1,040.63 = 328.64 : x
  2. Step 2: Convert to fraction form
    694.35/1,040.63 = 328.64/x
  3. Step 3: Cross multiply
    694.35x = 1,040.63 × 328.64
  4. Step 4: Simplify right side
    694.35x = 341,985.80
  5. Step 5: Solve for x
    x = 341,985.80/694.35
  6. Step 6: Final answer
    x = 492.53

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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.