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Finding the Fourth Proportional to 710.85, 980.99 and 431.03

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Solution

The fourth proportional to 710.85, 980.99 and 431.03 is: 594.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.85 : 980.99 = 431.03 : x
  2. Step 2: Convert to fraction form
    710.85/980.99 = 431.03/x
  3. Step 3: Cross multiply
    710.85x = 980.99 × 431.03
  4. Step 4: Simplify right side
    710.85x = 422,836.12
  5. Step 5: Solve for x
    x = 422,836.12/710.85
  6. Step 6: Final answer
    x = 594.83

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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.