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Finding the Fourth Proportional to 939.45, 1,297.76 and 678.84

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Solution

The fourth proportional to 939.45, 1,297.76 and 678.84 is: 937.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.45 : 1,297.76 = 678.84 : x
  2. Step 2: Convert to fraction form
    939.45/1,297.76 = 678.84/x
  3. Step 3: Cross multiply
    939.45x = 1,297.76 × 678.84
  4. Step 4: Simplify right side
    939.45x = 880,971.40
  5. Step 5: Solve for x
    x = 880,971.40/939.45
  6. Step 6: Final answer
    x = 937.75

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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.