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Finding the Fourth Proportional to 712.21, 980.88 and 613.93

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Solution

The fourth proportional to 712.21, 980.88 and 613.93 is: 845.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.21 : 980.88 = 613.93 : x
  2. Step 2: Convert to fraction form
    712.21/980.88 = 613.93/x
  3. Step 3: Cross multiply
    712.21x = 980.88 × 613.93
  4. Step 4: Simplify right side
    712.21x = 602,191.66
  5. Step 5: Solve for x
    x = 602,191.66/712.21
  6. Step 6: Final answer
    x = 845.53

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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.