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Finding the Fourth Proportional to 727.85, 1,005.34 and 528.37

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Solution

The fourth proportional to 727.85, 1,005.34 and 528.37 is: 729.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.85 : 1,005.34 = 528.37 : x
  2. Step 2: Convert to fraction form
    727.85/1,005.34 = 528.37/x
  3. Step 3: Cross multiply
    727.85x = 1,005.34 × 528.37
  4. Step 4: Simplify right side
    727.85x = 531,186.77
  5. Step 5: Solve for x
    x = 531,186.77/727.85
  6. Step 6: Final answer
    x = 729.80

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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.