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Finding the Fourth Proportional to 935.52, 1,401.84 and 729.60

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Solution

The fourth proportional to 935.52, 1,401.84 and 729.60 is: 1,093.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.52 : 1,401.84 = 729.60 : x
  2. Step 2: Convert to fraction form
    935.52/1,401.84 = 729.60/x
  3. Step 3: Cross multiply
    935.52x = 1,401.84 × 729.60
  4. Step 4: Simplify right side
    935.52x = 1,022,782.46
  5. Step 5: Solve for x
    x = 1,022,782.46/935.52
  6. Step 6: Final answer
    x = 1,093.28

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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.