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Finding the Fourth Proportional to 1,306.48, 1,960.26 and 537.52

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Solution

The fourth proportional to 1,306.48, 1,960.26 and 537.52 is: 806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.48 : 1,960.26 = 537.52 : x
  2. Step 2: Convert to fraction form
    1,306.48/1,960.26 = 537.52/x
  3. Step 3: Cross multiply
    1,306.48x = 1,960.26 × 537.52
  4. Step 4: Simplify right side
    1,306.48x = 1,053,678.96
  5. Step 5: Solve for x
    x = 1,053,678.96/1,306.48
  6. Step 6: Final answer
    x = 806.50

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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.