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Finding the Fourth Proportional to 857.84, 1,286.71 and 528.84

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Solution

The fourth proportional to 857.84, 1,286.71 and 528.84 is: 793.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.84 : 1,286.71 = 528.84 : x
  2. Step 2: Convert to fraction form
    857.84/1,286.71 = 528.84/x
  3. Step 3: Cross multiply
    857.84x = 1,286.71 × 528.84
  4. Step 4: Simplify right side
    857.84x = 680,460.26
  5. Step 5: Solve for x
    x = 680,460.26/857.84
  6. Step 6: Final answer
    x = 793.22

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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.