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Finding the Fourth Proportional to 712.70, 983 and 446.94

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Solution

The fourth proportional to 712.70, 983 and 446.94 is: 616.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.70 : 983 = 446.94 : x
  2. Step 2: Convert to fraction form
    712.70/983 = 446.94/x
  3. Step 3: Cross multiply
    712.70x = 983 × 446.94
  4. Step 4: Simplify right side
    712.70x = 439,342.02
  5. Step 5: Solve for x
    x = 439,342.02/712.70
  6. Step 6: Final answer
    x = 616.45

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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.