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Finding the Fourth Proportional to 710.86, 980.95 and 412.09

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Solution

The fourth proportional to 710.86, 980.95 and 412.09 is: 568.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.86 : 980.95 = 412.09 : x
  2. Step 2: Convert to fraction form
    710.86/980.95 = 412.09/x
  3. Step 3: Cross multiply
    710.86x = 980.95 × 412.09
  4. Step 4: Simplify right side
    710.86x = 404,232.72
  5. Step 5: Solve for x
    x = 404,232.72/710.86
  6. Step 6: Final answer
    x = 568.66

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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.