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Finding the Fourth Proportional to 670.70, 924.46 and 449.57

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Solution

The fourth proportional to 670.70, 924.46 and 449.57 is: 619.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.70 : 924.46 = 449.57 : x
  2. Step 2: Convert to fraction form
    670.70/924.46 = 449.57/x
  3. Step 3: Cross multiply
    670.70x = 924.46 × 449.57
  4. Step 4: Simplify right side
    670.70x = 415,609.48
  5. Step 5: Solve for x
    x = 415,609.48/670.70
  6. Step 6: Final answer
    x = 619.67

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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.