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Finding the Fourth Proportional to 759.82, 1,048.60 and 465

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Solution

The fourth proportional to 759.82, 1,048.60 and 465 is: 641.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.82 : 1,048.60 = 465 : x
  2. Step 2: Convert to fraction form
    759.82/1,048.60 = 465/x
  3. Step 3: Cross multiply
    759.82x = 1,048.60 × 465
  4. Step 4: Simplify right side
    759.82x = 487,599.00
  5. Step 5: Solve for x
    x = 487,599.00/759.82
  6. Step 6: Final answer
    x = 641.73

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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.