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Finding the Fourth Proportional to 759.10, 1,048.31 and 523.66

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Solution

The fourth proportional to 759.10, 1,048.31 and 523.66 is: 723.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.10 : 1,048.31 = 523.66 : x
  2. Step 2: Convert to fraction form
    759.10/1,048.31 = 523.66/x
  3. Step 3: Cross multiply
    759.10x = 1,048.31 × 523.66
  4. Step 4: Simplify right side
    759.10x = 548,952.10
  5. Step 5: Solve for x
    x = 548,952.10/759.10
  6. Step 6: Final answer
    x = 723.16

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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.