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Finding the Fourth Proportional to 708.67, 977.88 and 447.13

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Solution

The fourth proportional to 708.67, 977.88 and 447.13 is: 616.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.67 : 977.88 = 447.13 : x
  2. Step 2: Convert to fraction form
    708.67/977.88 = 447.13/x
  3. Step 3: Cross multiply
    708.67x = 977.88 × 447.13
  4. Step 4: Simplify right side
    708.67x = 437,239.48
  5. Step 5: Solve for x
    x = 437,239.48/708.67
  6. Step 6: Final answer
    x = 616.99

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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.