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Finding the Fourth Proportional to 712.96, 983.82 and 414.16

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Solution

The fourth proportional to 712.96, 983.82 and 414.16 is: 571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.96 : 983.82 = 414.16 : x
  2. Step 2: Convert to fraction form
    712.96/983.82 = 414.16/x
  3. Step 3: Cross multiply
    712.96x = 983.82 × 414.16
  4. Step 4: Simplify right side
    712.96x = 407,456.43
  5. Step 5: Solve for x
    x = 407,456.43/712.96
  6. Step 6: Final answer
    x = 571.50

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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.