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Finding the Fourth Proportional to 712.09, 982.91 and 432.46

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Solution

The fourth proportional to 712.09, 982.91 and 432.46 is: 596.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.09 : 982.91 = 432.46 : x
  2. Step 2: Convert to fraction form
    712.09/982.91 = 432.46/x
  3. Step 3: Cross multiply
    712.09x = 982.91 × 432.46
  4. Step 4: Simplify right side
    712.09x = 425,069.26
  5. Step 5: Solve for x
    x = 425,069.26/712.09
  6. Step 6: Final answer
    x = 596.93

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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.