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Finding the Fourth Proportional to 859.90, 1,186.82 and 528.54

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Solution

The fourth proportional to 859.90, 1,186.82 and 528.54 is: 729.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.90 : 1,186.82 = 528.54 : x
  2. Step 2: Convert to fraction form
    859.90/1,186.82 = 528.54/x
  3. Step 3: Cross multiply
    859.90x = 1,186.82 × 528.54
  4. Step 4: Simplify right side
    859.90x = 627,281.84
  5. Step 5: Solve for x
    x = 627,281.84/859.90
  6. Step 6: Final answer
    x = 729.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.