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Finding the Fourth Proportional to 859.42, 1,185.56 and 527.26

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Solution

The fourth proportional to 859.42, 1,185.56 and 527.26 is: 727.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.42 : 1,185.56 = 527.26 : x
  2. Step 2: Convert to fraction form
    859.42/1,185.56 = 527.26/x
  3. Step 3: Cross multiply
    859.42x = 1,185.56 × 527.26
  4. Step 4: Simplify right side
    859.42x = 625,098.37
  5. Step 5: Solve for x
    x = 625,098.37/859.42
  6. Step 6: Final answer
    x = 727.35

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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.