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Finding the Fourth Proportional to 657.04, 906.54 and 446.84

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Solution

The fourth proportional to 657.04, 906.54 and 446.84 is: 616.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.04 : 906.54 = 446.84 : x
  2. Step 2: Convert to fraction form
    657.04/906.54 = 446.84/x
  3. Step 3: Cross multiply
    657.04x = 906.54 × 446.84
  4. Step 4: Simplify right side
    657.04x = 405,076.10
  5. Step 5: Solve for x
    x = 405,076.10/657.04
  6. Step 6: Final answer
    x = 616.52

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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.