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Finding the Fourth Proportional to 656.45, 984.77 and 396.64

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Solution

The fourth proportional to 656.45, 984.77 and 396.64 is: 595.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.45 : 984.77 = 396.64 : x
  2. Step 2: Convert to fraction form
    656.45/984.77 = 396.64/x
  3. Step 3: Cross multiply
    656.45x = 984.77 × 396.64
  4. Step 4: Simplify right side
    656.45x = 390,597.70
  5. Step 5: Solve for x
    x = 390,597.70/656.45
  6. Step 6: Final answer
    x = 595.02

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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.