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Finding the Fourth Proportional to 712.56, 983.47 and 417.83

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Solution

The fourth proportional to 712.56, 983.47 and 417.83 is: 576.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.56 : 983.47 = 417.83 : x
  2. Step 2: Convert to fraction form
    712.56/983.47 = 417.83/x
  3. Step 3: Cross multiply
    712.56x = 983.47 × 417.83
  4. Step 4: Simplify right side
    712.56x = 410,923.27
  5. Step 5: Solve for x
    x = 410,923.27/712.56
  6. Step 6: Final answer
    x = 576.68

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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.