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Finding the Fourth Proportional to 729.87, 1,007.01 and 435.03

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Solution

The fourth proportional to 729.87, 1,007.01 and 435.03 is: 600.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.87 : 1,007.01 = 435.03 : x
  2. Step 2: Convert to fraction form
    729.87/1,007.01 = 435.03/x
  3. Step 3: Cross multiply
    729.87x = 1,007.01 × 435.03
  4. Step 4: Simplify right side
    729.87x = 438,079.56
  5. Step 5: Solve for x
    x = 438,079.56/729.87
  6. Step 6: Final answer
    x = 600.22

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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.