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Finding the Fourth Proportional to 754.15, 1,133.36 and 446.06

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Solution

The fourth proportional to 754.15, 1,133.36 and 446.06 is: 670.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.15 : 1,133.36 = 446.06 : x
  2. Step 2: Convert to fraction form
    754.15/1,133.36 = 446.06/x
  3. Step 3: Cross multiply
    754.15x = 1,133.36 × 446.06
  4. Step 4: Simplify right side
    754.15x = 505,538.66
  5. Step 5: Solve for x
    x = 505,538.66/754.15
  6. Step 6: Final answer
    x = 670.35

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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.