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Finding the Fourth Proportional to 762.94, 1,056.82 and 701.38

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Solution

The fourth proportional to 762.94, 1,056.82 and 701.38 is: 971.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.94 : 1,056.82 = 701.38 : x
  2. Step 2: Convert to fraction form
    762.94/1,056.82 = 701.38/x
  3. Step 3: Cross multiply
    762.94x = 1,056.82 × 701.38
  4. Step 4: Simplify right side
    762.94x = 741,232.41
  5. Step 5: Solve for x
    x = 741,232.41/762.94
  6. Step 6: Final answer
    x = 971.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.