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Finding the Fourth Proportional to 708.09, 977.03 and 459.39

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Solution

The fourth proportional to 708.09, 977.03 and 459.39 is: 633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.09 : 977.03 = 459.39 : x
  2. Step 2: Convert to fraction form
    708.09/977.03 = 459.39/x
  3. Step 3: Cross multiply
    708.09x = 977.03 × 459.39
  4. Step 4: Simplify right side
    708.09x = 448,835.51
  5. Step 5: Solve for x
    x = 448,835.51/708.09
  6. Step 6: Final answer
    x = 633.87

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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.