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Finding the Fourth Proportional to 712.05, 1,065.43 and 433.41

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Solution

The fourth proportional to 712.05, 1,065.43 and 433.41 is: 648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.05 : 1,065.43 = 433.41 : x
  2. Step 2: Convert to fraction form
    712.05/1,065.43 = 433.41/x
  3. Step 3: Cross multiply
    712.05x = 1,065.43 × 433.41
  4. Step 4: Simplify right side
    712.05x = 461,768.02
  5. Step 5: Solve for x
    x = 461,768.02/712.05
  6. Step 6: Final answer
    x = 648.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.