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Finding the Fourth Proportional to 729.51, 1,093.65 and 436.54

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Solution

The fourth proportional to 729.51, 1,093.65 and 436.54 is: 654.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.51 : 1,093.65 = 436.54 : x
  2. Step 2: Convert to fraction form
    729.51/1,093.65 = 436.54/x
  3. Step 3: Cross multiply
    729.51x = 1,093.65 × 436.54
  4. Step 4: Simplify right side
    729.51x = 477,422.11
  5. Step 5: Solve for x
    x = 477,422.11/729.51
  6. Step 6: Final answer
    x = 654.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.