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Finding the Fourth Proportional to 689.26, 948.80 and 523.18

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Solution

The fourth proportional to 689.26, 948.80 and 523.18 is: 720.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.26 : 948.80 = 523.18 : x
  2. Step 2: Convert to fraction form
    689.26/948.80 = 523.18/x
  3. Step 3: Cross multiply
    689.26x = 948.80 × 523.18
  4. Step 4: Simplify right side
    689.26x = 496,393.18
  5. Step 5: Solve for x
    x = 496,393.18/689.26
  6. Step 6: Final answer
    x = 720.18

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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.