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Finding the Fourth Proportional to 656.78, 905.64 and 446.99

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Solution

The fourth proportional to 656.78, 905.64 and 446.99 is: 616.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.78 : 905.64 = 446.99 : x
  2. Step 2: Convert to fraction form
    656.78/905.64 = 446.99/x
  3. Step 3: Cross multiply
    656.78x = 905.64 × 446.99
  4. Step 4: Simplify right side
    656.78x = 404,807.50
  5. Step 5: Solve for x
    x = 404,807.50/656.78
  6. Step 6: Final answer
    x = 616.36

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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.