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Finding the Fourth Proportional to 710.99, 980.97 and 445.70

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Solution

The fourth proportional to 710.99, 980.97 and 445.70 is: 614.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.99 : 980.97 = 445.70 : x
  2. Step 2: Convert to fraction form
    710.99/980.97 = 445.70/x
  3. Step 3: Cross multiply
    710.99x = 980.97 × 445.70
  4. Step 4: Simplify right side
    710.99x = 437,218.33
  5. Step 5: Solve for x
    x = 437,218.33/710.99
  6. Step 6: Final answer
    x = 614.94

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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.