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Finding the Fourth Proportional to 710.14, 980.00 and 399.64

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Solution

The fourth proportional to 710.14, 980.00 and 399.64 is: 551.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.14 : 980.00 = 399.64 : x
  2. Step 2: Convert to fraction form
    710.14/980.00 = 399.64/x
  3. Step 3: Cross multiply
    710.14x = 980.00 × 399.64
  4. Step 4: Simplify right side
    710.14x = 391,645.20
  5. Step 5: Solve for x
    x = 391,645.20/710.14
  6. Step 6: Final answer
    x = 551.50

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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.