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Finding the Fourth Proportional to 486.09, 732.78 and 454.77

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Solution

The fourth proportional to 486.09, 732.78 and 454.77 is: 685.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.09 : 732.78 = 454.77 : x
  2. Step 2: Convert to fraction form
    486.09/732.78 = 454.77/x
  3. Step 3: Cross multiply
    486.09x = 732.78 × 454.77
  4. Step 4: Simplify right side
    486.09x = 333,246.36
  5. Step 5: Solve for x
    x = 333,246.36/486.09
  6. Step 6: Final answer
    x = 685.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.