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Finding the Fourth Proportional to 712.59, 982.11 and 546.51

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Solution

The fourth proportional to 712.59, 982.11 and 546.51 is: 753.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.59 : 982.11 = 546.51 : x
  2. Step 2: Convert to fraction form
    712.59/982.11 = 546.51/x
  3. Step 3: Cross multiply
    712.59x = 982.11 × 546.51
  4. Step 4: Simplify right side
    712.59x = 536,738.67
  5. Step 5: Solve for x
    x = 536,738.67/712.59
  6. Step 6: Final answer
    x = 753.23

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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.