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Finding the Fourth Proportional to 759.50, 1,048.21 and 460.87

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Solution

The fourth proportional to 759.50, 1,048.21 and 460.87 is: 636.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.50 : 1,048.21 = 460.87 : x
  2. Step 2: Convert to fraction form
    759.50/1,048.21 = 460.87/x
  3. Step 3: Cross multiply
    759.50x = 1,048.21 × 460.87
  4. Step 4: Simplify right side
    759.50x = 483,083.30
  5. Step 5: Solve for x
    x = 483,083.30/759.50
  6. Step 6: Final answer
    x = 636.05

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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.