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Finding the Fourth Proportional to 1,760.70, 2,641.50 and 665.07

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Solution

The fourth proportional to 1,760.70, 2,641.50 and 665.07 is: 997.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.70 : 2,641.50 = 665.07 : x
  2. Step 2: Convert to fraction form
    1,760.70/2,641.50 = 665.07/x
  3. Step 3: Cross multiply
    1,760.70x = 2,641.50 × 665.07
  4. Step 4: Simplify right side
    1,760.70x = 1,756,782.41
  5. Step 5: Solve for x
    x = 1,756,782.41/1,760.70
  6. Step 6: Final answer
    x = 997.77

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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.