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Finding the Fourth Proportional to 462.40, 690.26 and 428.62

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Solution

The fourth proportional to 462.40, 690.26 and 428.62 is: 639.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.40 : 690.26 = 428.62 : x
  2. Step 2: Convert to fraction form
    462.40/690.26 = 428.62/x
  3. Step 3: Cross multiply
    462.40x = 690.26 × 428.62
  4. Step 4: Simplify right side
    462.40x = 295,859.24
  5. Step 5: Solve for x
    x = 295,859.24/462.40
  6. Step 6: Final answer
    x = 639.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.