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Finding the Fourth Proportional to 759.81, 1,048.73 and 461.19

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Solution

The fourth proportional to 759.81, 1,048.73 and 461.19 is: 636.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.81 : 1,048.73 = 461.19 : x
  2. Step 2: Convert to fraction form
    759.81/1,048.73 = 461.19/x
  3. Step 3: Cross multiply
    759.81x = 1,048.73 × 461.19
  4. Step 4: Simplify right side
    759.81x = 483,661.48
  5. Step 5: Solve for x
    x = 483,661.48/759.81
  6. Step 6: Final answer
    x = 636.56

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Double scale
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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.