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Finding the Fourth Proportional to 712.02, 982.36 and 432.12

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Solution

The fourth proportional to 712.02, 982.36 and 432.12 is: 596.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.02 : 982.36 = 432.12 : x
  2. Step 2: Convert to fraction form
    712.02/982.36 = 432.12/x
  3. Step 3: Cross multiply
    712.02x = 982.36 × 432.12
  4. Step 4: Simplify right side
    712.02x = 424,497.40
  5. Step 5: Solve for x
    x = 424,497.40/712.02
  6. Step 6: Final answer
    x = 596.19

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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.