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Finding the Fourth Proportional to 756.99, 1,047.60 and 738.78

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Solution

The fourth proportional to 756.99, 1,047.60 and 738.78 is: 1,022.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.99 : 1,047.60 = 738.78 : x
  2. Step 2: Convert to fraction form
    756.99/1,047.60 = 738.78/x
  3. Step 3: Cross multiply
    756.99x = 1,047.60 × 738.78
  4. Step 4: Simplify right side
    756.99x = 773,945.93
  5. Step 5: Solve for x
    x = 773,945.93/756.99
  6. Step 6: Final answer
    x = 1,022.40

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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.