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Finding the Fourth Proportional to 685.71, 1,026.34 and 439.07

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Solution

The fourth proportional to 685.71, 1,026.34 and 439.07 is: 657.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.71 : 1,026.34 = 439.07 : x
  2. Step 2: Convert to fraction form
    685.71/1,026.34 = 439.07/x
  3. Step 3: Cross multiply
    685.71x = 1,026.34 × 439.07
  4. Step 4: Simplify right side
    685.71x = 450,628.87
  5. Step 5: Solve for x
    x = 450,628.87/685.71
  6. Step 6: Final answer
    x = 657.17

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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.