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Finding the Fourth Proportional to 712.45, 983.22 and 417.61

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Solution

The fourth proportional to 712.45, 983.22 and 417.61 is: 576.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.45 : 983.22 = 417.61 : x
  2. Step 2: Convert to fraction form
    712.45/983.22 = 417.61/x
  3. Step 3: Cross multiply
    712.45x = 983.22 × 417.61
  4. Step 4: Simplify right side
    712.45x = 410,597.59
  5. Step 5: Solve for x
    x = 410,597.59/712.45
  6. Step 6: Final answer
    x = 576.32

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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.