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Finding the Fourth Proportional to 689.51, 1,034.44 and 343.01

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Solution

The fourth proportional to 689.51, 1,034.44 and 343.01 is: 514.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.51 : 1,034.44 = 343.01 : x
  2. Step 2: Convert to fraction form
    689.51/1,034.44 = 343.01/x
  3. Step 3: Cross multiply
    689.51x = 1,034.44 × 343.01
  4. Step 4: Simplify right side
    689.51x = 354,821.55
  5. Step 5: Solve for x
    x = 354,821.55/689.51
  6. Step 6: Final answer
    x = 514.60

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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.