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Finding the Fourth Proportional to 708.44, 977.69 and 393.70

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Solution

The fourth proportional to 708.44, 977.69 and 393.70 is: 543.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.44 : 977.69 = 393.70 : x
  2. Step 2: Convert to fraction form
    708.44/977.69 = 393.70/x
  3. Step 3: Cross multiply
    708.44x = 977.69 × 393.70
  4. Step 4: Simplify right side
    708.44x = 384,916.55
  5. Step 5: Solve for x
    x = 384,916.55/708.44
  6. Step 6: Final answer
    x = 543.33

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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.