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Finding the Fourth Proportional to 754.30, 1,130.64 and 446.10

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Solution

The fourth proportional to 754.30, 1,130.64 and 446.10 is: 668.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.30 : 1,130.64 = 446.10 : x
  2. Step 2: Convert to fraction form
    754.30/1,130.64 = 446.10/x
  3. Step 3: Cross multiply
    754.30x = 1,130.64 × 446.10
  4. Step 4: Simplify right side
    754.30x = 504,378.50
  5. Step 5: Solve for x
    x = 504,378.50/754.30
  6. Step 6: Final answer
    x = 668.67

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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.