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Finding the Fourth Proportional to 712.63, 983.43 and 417.90

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Solution

The fourth proportional to 712.63, 983.43 and 417.90 is: 576.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.63 : 983.43 = 417.90 : x
  2. Step 2: Convert to fraction form
    712.63/983.43 = 417.90/x
  3. Step 3: Cross multiply
    712.63x = 983.43 × 417.90
  4. Step 4: Simplify right side
    712.63x = 410,975.40
  5. Step 5: Solve for x
    x = 410,975.40/712.63
  6. Step 6: Final answer
    x = 576.70

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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.