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Finding the Fourth Proportional to 486.77, 733.06 and 426.63

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Solution

The fourth proportional to 486.77, 733.06 and 426.63 is: 642.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.77 : 733.06 = 426.63 : x
  2. Step 2: Convert to fraction form
    486.77/733.06 = 426.63/x
  3. Step 3: Cross multiply
    486.77x = 733.06 × 426.63
  4. Step 4: Simplify right side
    486.77x = 312,741.72
  5. Step 5: Solve for x
    x = 312,741.72/486.77
  6. Step 6: Final answer
    x = 642.49

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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.