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Finding the Fourth Proportional to 1,306.07, 1,959.22 and 428.56

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Solution

The fourth proportional to 1,306.07, 1,959.22 and 428.56 is: 642.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.07 : 1,959.22 = 428.56 : x
  2. Step 2: Convert to fraction form
    1,306.07/1,959.22 = 428.56/x
  3. Step 3: Cross multiply
    1,306.07x = 1,959.22 × 428.56
  4. Step 4: Simplify right side
    1,306.07x = 839,638.96
  5. Step 5: Solve for x
    x = 839,638.96/1,306.07
  6. Step 6: Final answer
    x = 642.87

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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.