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Finding the Fourth Proportional to 1,292.76, 1,782.81 and 768.69

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Solution

The fourth proportional to 1,292.76, 1,782.81 and 768.69 is: 1,060.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.76 : 1,782.81 = 768.69 : x
  2. Step 2: Convert to fraction form
    1,292.76/1,782.81 = 768.69/x
  3. Step 3: Cross multiply
    1,292.76x = 1,782.81 × 768.69
  4. Step 4: Simplify right side
    1,292.76x = 1,370,428.22
  5. Step 5: Solve for x
    x = 1,370,428.22/1,292.76
  6. Step 6: Final answer
    x = 1,060.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.