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Finding the Fourth Proportional to 668.17, 921.81 and 446.77

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Solution

The fourth proportional to 668.17, 921.81 and 446.77 is: 616.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.17 : 921.81 = 446.77 : x
  2. Step 2: Convert to fraction form
    668.17/921.81 = 446.77/x
  3. Step 3: Cross multiply
    668.17x = 921.81 × 446.77
  4. Step 4: Simplify right side
    668.17x = 411,837.05
  5. Step 5: Solve for x
    x = 411,837.05/668.17
  6. Step 6: Final answer
    x = 616.37

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1.5x scale

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.