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Finding the Fourth Proportional to 709.89, 1,064.49 and 401.67

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Solution

The fourth proportional to 709.89, 1,064.49 and 401.67 is: 602.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.89 : 1,064.49 = 401.67 : x
  2. Step 2: Convert to fraction form
    709.89/1,064.49 = 401.67/x
  3. Step 3: Cross multiply
    709.89x = 1,064.49 × 401.67
  4. Step 4: Simplify right side
    709.89x = 427,573.70
  5. Step 5: Solve for x
    x = 427,573.70/709.89
  6. Step 6: Final answer
    x = 602.31

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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.