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Finding the Fourth Proportional to 756.41, 1,048.61 and 741.35

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Solution

The fourth proportional to 756.41, 1,048.61 and 741.35 is: 1,027.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.41 : 1,048.61 = 741.35 : x
  2. Step 2: Convert to fraction form
    756.41/1,048.61 = 741.35/x
  3. Step 3: Cross multiply
    756.41x = 1,048.61 × 741.35
  4. Step 4: Simplify right side
    756.41x = 777,391.50
  5. Step 5: Solve for x
    x = 777,391.50/756.41
  6. Step 6: Final answer
    x = 1,027.75

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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.