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Finding the Fourth Proportional to 710.75, 980.72 and 396.01

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Solution

The fourth proportional to 710.75, 980.72 and 396.01 is: 546.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.75 : 980.72 = 396.01 : x
  2. Step 2: Convert to fraction form
    710.75/980.72 = 396.01/x
  3. Step 3: Cross multiply
    710.75x = 980.72 × 396.01
  4. Step 4: Simplify right side
    710.75x = 388,372.77
  5. Step 5: Solve for x
    x = 388,372.77/710.75
  6. Step 6: Final answer
    x = 546.42

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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.