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Finding the Fourth Proportional to 1,721.76, 2,580.53 and 796.07

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Solution

The fourth proportional to 1,721.76, 2,580.53 and 796.07 is: 1,193.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.76 : 2,580.53 = 796.07 : x
  2. Step 2: Convert to fraction form
    1,721.76/2,580.53 = 796.07/x
  3. Step 3: Cross multiply
    1,721.76x = 2,580.53 × 796.07
  4. Step 4: Simplify right side
    1,721.76x = 2,054,265.63
  5. Step 5: Solve for x
    x = 2,054,265.63/1,721.76
  6. Step 6: Final answer
    x = 1,193.12

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1.5x scale

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.