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Finding the Fourth Proportional to 712.70, 983.56 and 417.94

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Solution

The fourth proportional to 712.70, 983.56 and 417.94 is: 576.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.70 : 983.56 = 417.94 : x
  2. Step 2: Convert to fraction form
    712.70/983.56 = 417.94/x
  3. Step 3: Cross multiply
    712.70x = 983.56 × 417.94
  4. Step 4: Simplify right side
    712.70x = 411,069.07
  5. Step 5: Solve for x
    x = 411,069.07/712.70
  6. Step 6: Final answer
    x = 576.78

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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.