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Finding the Fourth Proportional to 651.97, 977.30 and 408.67

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Solution

The fourth proportional to 651.97, 977.30 and 408.67 is: 612.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.97 : 977.30 = 408.67 : x
  2. Step 2: Convert to fraction form
    651.97/977.30 = 408.67/x
  3. Step 3: Cross multiply
    651.97x = 977.30 × 408.67
  4. Step 4: Simplify right side
    651.97x = 399,390.24
  5. Step 5: Solve for x
    x = 399,390.24/651.97
  6. Step 6: Final answer
    x = 612.59

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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.