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Finding the Fourth Proportional to 712.72, 983.28 and 417.88

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Solution

The fourth proportional to 712.72, 983.28 and 417.88 is: 576.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.72 : 983.28 = 417.88 : x
  2. Step 2: Convert to fraction form
    712.72/983.28 = 417.88/x
  3. Step 3: Cross multiply
    712.72x = 983.28 × 417.88
  4. Step 4: Simplify right side
    712.72x = 410,893.05
  5. Step 5: Solve for x
    x = 410,893.05/712.72
  6. Step 6: Final answer
    x = 576.51

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1.5x scale

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.