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Finding the Fourth Proportional to 710.27, 980.67 and 444.83

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Solution

The fourth proportional to 710.27, 980.67 and 444.83 is: 614.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.27 : 980.67 = 444.83 : x
  2. Step 2: Convert to fraction form
    710.27/980.67 = 444.83/x
  3. Step 3: Cross multiply
    710.27x = 980.67 × 444.83
  4. Step 4: Simplify right side
    710.27x = 436,231.21
  5. Step 5: Solve for x
    x = 436,231.21/710.27
  6. Step 6: Final answer
    x = 614.17

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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.