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Finding the Fourth Proportional to 656.15, 906.02 and 446.77

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Solution

The fourth proportional to 656.15, 906.02 and 446.77 is: 616.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.15 : 906.02 = 446.77 : x
  2. Step 2: Convert to fraction form
    656.15/906.02 = 446.77/x
  3. Step 3: Cross multiply
    656.15x = 906.02 × 446.77
  4. Step 4: Simplify right side
    656.15x = 404,775.79
  5. Step 5: Solve for x
    x = 404,775.79/656.15
  6. Step 6: Final answer
    x = 616.90

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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.