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Finding the Fourth Proportional to 708.30, 977.49 and 393.56

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Solution

The fourth proportional to 708.30, 977.49 and 393.56 is: 543.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.30 : 977.49 = 393.56 : x
  2. Step 2: Convert to fraction form
    708.30/977.49 = 393.56/x
  3. Step 3: Cross multiply
    708.30x = 977.49 × 393.56
  4. Step 4: Simplify right side
    708.30x = 384,704.50
  5. Step 5: Solve for x
    x = 384,704.50/708.30
  6. Step 6: Final answer
    x = 543.14

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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.