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Finding the Fourth Proportional to 689.24, 1,029.93 and 523.80

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Solution

The fourth proportional to 689.24, 1,029.93 and 523.80 is: 782.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.24 : 1,029.93 = 523.80 : x
  2. Step 2: Convert to fraction form
    689.24/1,029.93 = 523.80/x
  3. Step 3: Cross multiply
    689.24x = 1,029.93 × 523.80
  4. Step 4: Simplify right side
    689.24x = 539,477.33
  5. Step 5: Solve for x
    x = 539,477.33/689.24
  6. Step 6: Final answer
    x = 782.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.