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Finding the Fourth Proportional to 690.79, 1,034.79 and 343.07

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Solution

The fourth proportional to 690.79, 1,034.79 and 343.07 is: 513.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.79 : 1,034.79 = 343.07 : x
  2. Step 2: Convert to fraction form
    690.79/1,034.79 = 343.07/x
  3. Step 3: Cross multiply
    690.79x = 1,034.79 × 343.07
  4. Step 4: Simplify right side
    690.79x = 355,004.76
  5. Step 5: Solve for x
    x = 355,004.76/690.79
  6. Step 6: Final answer
    x = 513.91

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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.