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Finding the Fourth Proportional to 768.41, 1,061.49 and 685.49

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Solution

The fourth proportional to 768.41, 1,061.49 and 685.49 is: 946.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.41 : 1,061.49 = 685.49 : x
  2. Step 2: Convert to fraction form
    768.41/1,061.49 = 685.49/x
  3. Step 3: Cross multiply
    768.41x = 1,061.49 × 685.49
  4. Step 4: Simplify right side
    768.41x = 727,637.35
  5. Step 5: Solve for x
    x = 727,637.35/768.41
  6. Step 6: Final answer
    x = 946.94

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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.