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Finding the Fourth Proportional to 708.63, 977.71 and 459.96

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Solution

The fourth proportional to 708.63, 977.71 and 459.96 is: 634.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.63 : 977.71 = 459.96 : x
  2. Step 2: Convert to fraction form
    708.63/977.71 = 459.96/x
  3. Step 3: Cross multiply
    708.63x = 977.71 × 459.96
  4. Step 4: Simplify right side
    708.63x = 449,707.49
  5. Step 5: Solve for x
    x = 449,707.49/708.63
  6. Step 6: Final answer
    x = 634.62

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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.