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Finding the Fourth Proportional to 710.95, 980.91 and 412.18

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Solution

The fourth proportional to 710.95, 980.91 and 412.18 is: 568.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.95 : 980.91 = 412.18 : x
  2. Step 2: Convert to fraction form
    710.95/980.91 = 412.18/x
  3. Step 3: Cross multiply
    710.95x = 980.91 × 412.18
  4. Step 4: Simplify right side
    710.95x = 404,311.48
  5. Step 5: Solve for x
    x = 404,311.48/710.95
  6. Step 6: Final answer
    x = 568.69

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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.