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Finding the Fourth Proportional to 475.96, 711.16 and 451.36

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Solution

The fourth proportional to 475.96, 711.16 and 451.36 is: 674.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.96 : 711.16 = 451.36 : x
  2. Step 2: Convert to fraction form
    475.96/711.16 = 451.36/x
  3. Step 3: Cross multiply
    475.96x = 711.16 × 451.36
  4. Step 4: Simplify right side
    475.96x = 320,989.18
  5. Step 5: Solve for x
    x = 320,989.18/475.96
  6. Step 6: Final answer
    x = 674.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.