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Finding the Fourth Proportional to 712.31, 983.06 and 417.56

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Solution

The fourth proportional to 712.31, 983.06 and 417.56 is: 576.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.31 : 983.06 = 417.56 : x
  2. Step 2: Convert to fraction form
    712.31/983.06 = 417.56/x
  3. Step 3: Cross multiply
    712.31x = 983.06 × 417.56
  4. Step 4: Simplify right side
    712.31x = 410,490.04
  5. Step 5: Solve for x
    x = 410,490.04/712.31
  6. Step 6: Final answer
    x = 576.28

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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.