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Finding the Fourth Proportional to 759.95, 1,048.79 and 461.27

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Solution

The fourth proportional to 759.95, 1,048.79 and 461.27 is: 636.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.95 : 1,048.79 = 461.27 : x
  2. Step 2: Convert to fraction form
    759.95/1,048.79 = 461.27/x
  3. Step 3: Cross multiply
    759.95x = 1,048.79 × 461.27
  4. Step 4: Simplify right side
    759.95x = 483,767.81
  5. Step 5: Solve for x
    x = 483,767.81/759.95
  6. Step 6: Final answer
    x = 636.58

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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.