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Finding the Fourth Proportional to 685.97, 1,026.37 and 480.94

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Solution

The fourth proportional to 685.97, 1,026.37 and 480.94 is: 719.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.97 : 1,026.37 = 480.94 : x
  2. Step 2: Convert to fraction form
    685.97/1,026.37 = 480.94/x
  3. Step 3: Cross multiply
    685.97x = 1,026.37 × 480.94
  4. Step 4: Simplify right side
    685.97x = 493,620.42
  5. Step 5: Solve for x
    x = 493,620.42/685.97
  6. Step 6: Final answer
    x = 719.60

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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.