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Finding the Fourth Proportional to 689.95, 952.23 and 523.89

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Solution

The fourth proportional to 689.95, 952.23 and 523.89 is: 723.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.95 : 952.23 = 523.89 : x
  2. Step 2: Convert to fraction form
    689.95/952.23 = 523.89/x
  3. Step 3: Cross multiply
    689.95x = 952.23 × 523.89
  4. Step 4: Simplify right side
    689.95x = 498,863.77
  5. Step 5: Solve for x
    x = 498,863.77/689.95
  6. Step 6: Final answer
    x = 723.04

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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.