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Finding the Fourth Proportional to 685.43, 1,026.51 and 395.99

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Solution

The fourth proportional to 685.43, 1,026.51 and 395.99 is: 593.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.43 : 1,026.51 = 395.99 : x
  2. Step 2: Convert to fraction form
    685.43/1,026.51 = 395.99/x
  3. Step 3: Cross multiply
    685.43x = 1,026.51 × 395.99
  4. Step 4: Simplify right side
    685.43x = 406,487.69
  5. Step 5: Solve for x
    x = 406,487.69/685.43
  6. Step 6: Final answer
    x = 593.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.