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Finding the Fourth Proportional to 707.62, 1,059.21 and 446.72

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Solution

The fourth proportional to 707.62, 1,059.21 and 446.72 is: 668.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.62 : 1,059.21 = 446.72 : x
  2. Step 2: Convert to fraction form
    707.62/1,059.21 = 446.72/x
  3. Step 3: Cross multiply
    707.62x = 1,059.21 × 446.72
  4. Step 4: Simplify right side
    707.62x = 473,165.41
  5. Step 5: Solve for x
    x = 473,165.41/707.62
  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.