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Finding the Fourth Proportional to 712.50, 983.28 and 417.78

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Solution

The fourth proportional to 712.50, 983.28 and 417.78 is: 576.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.50 : 983.28 = 417.78 : x
  2. Step 2: Convert to fraction form
    712.50/983.28 = 417.78/x
  3. Step 3: Cross multiply
    712.50x = 983.28 × 417.78
  4. Step 4: Simplify right side
    712.50x = 410,794.72
  5. Step 5: Solve for x
    x = 410,794.72/712.50
  6. Step 6: Final answer
    x = 576.55

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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.