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Finding the Fourth Proportional to 708.21, 977.54 and 487.71

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Solution

The fourth proportional to 708.21, 977.54 and 487.71 is: 673.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.21 : 977.54 = 487.71 : x
  2. Step 2: Convert to fraction form
    708.21/977.54 = 487.71/x
  3. Step 3: Cross multiply
    708.21x = 977.54 × 487.71
  4. Step 4: Simplify right side
    708.21x = 476,753.59
  5. Step 5: Solve for x
    x = 476,753.59/708.21
  6. Step 6: Final answer
    x = 673.18

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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.