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Finding the Fourth Proportional to 856.84, 1,283.08 and 685.48

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Solution

The fourth proportional to 856.84, 1,283.08 and 685.48 is: 1,026.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.84 : 1,283.08 = 685.48 : x
  2. Step 2: Convert to fraction form
    856.84/1,283.08 = 685.48/x
  3. Step 3: Cross multiply
    856.84x = 1,283.08 × 685.48
  4. Step 4: Simplify right side
    856.84x = 879,525.68
  5. Step 5: Solve for x
    x = 879,525.68/856.84
  6. Step 6: Final answer
    x = 1,026.48

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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.