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Finding the Fourth Proportional to 694.19, 1,040.74 and 347.35

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Solution

The fourth proportional to 694.19, 1,040.74 and 347.35 is: 520.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.19 : 1,040.74 = 347.35 : x
  2. Step 2: Convert to fraction form
    694.19/1,040.74 = 347.35/x
  3. Step 3: Cross multiply
    694.19x = 1,040.74 × 347.35
  4. Step 4: Simplify right side
    694.19x = 361,501.04
  5. Step 5: Solve for x
    x = 361,501.04/694.19
  6. Step 6: Final answer
    x = 520.75

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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.