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Finding the Fourth Proportional to 634.19, 873.74 and 528.68

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Solution

The fourth proportional to 634.19, 873.74 and 528.68 is: 728.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.19 : 873.74 = 528.68 : x
  2. Step 2: Convert to fraction form
    634.19/873.74 = 528.68/x
  3. Step 3: Cross multiply
    634.19x = 873.74 × 528.68
  4. Step 4: Simplify right side
    634.19x = 461,932.37
  5. Step 5: Solve for x
    x = 461,932.37/634.19
  6. Step 6: Final answer
    x = 728.39

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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.