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Finding the Fourth Proportional to 712.67, 982.59 and 594.81

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Solution

The fourth proportional to 712.67, 982.59 and 594.81 is: 820.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.67 : 982.59 = 594.81 : x
  2. Step 2: Convert to fraction form
    712.67/982.59 = 594.81/x
  3. Step 3: Cross multiply
    712.67x = 982.59 × 594.81
  4. Step 4: Simplify right side
    712.67x = 584,454.36
  5. Step 5: Solve for x
    x = 584,454.36/712.67
  6. Step 6: Final answer
    x = 820.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.