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Finding the Fourth Proportional to 712.72, 983.61 and 433.03

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Solution

The fourth proportional to 712.72, 983.61 and 433.03 is: 597.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.72 : 983.61 = 433.03 : x
  2. Step 2: Convert to fraction form
    712.72/983.61 = 433.03/x
  3. Step 3: Cross multiply
    712.72x = 983.61 × 433.03
  4. Step 4: Simplify right side
    712.72x = 425,932.64
  5. Step 5: Solve for x
    x = 425,932.64/712.72
  6. Step 6: Final answer
    x = 597.62

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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.