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Finding the Fourth Proportional to 859.68, 1,185.98 and 528.26

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Solution

The fourth proportional to 859.68, 1,185.98 and 528.26 is: 728.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.68 : 1,185.98 = 528.26 : x
  2. Step 2: Convert to fraction form
    859.68/1,185.98 = 528.26/x
  3. Step 3: Cross multiply
    859.68x = 1,185.98 × 528.26
  4. Step 4: Simplify right side
    859.68x = 626,497.22
  5. Step 5: Solve for x
    x = 626,497.22/859.68
  6. Step 6: Final answer
    x = 728.76

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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.