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Finding the Fourth Proportional to 712.88, 983.78 and 414.19

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Solution

The fourth proportional to 712.88, 983.78 and 414.19 is: 571.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.88 : 983.78 = 414.19 : x
  2. Step 2: Convert to fraction form
    712.88/983.78 = 414.19/x
  3. Step 3: Cross multiply
    712.88x = 983.78 × 414.19
  4. Step 4: Simplify right side
    712.88x = 407,464.85
  5. Step 5: Solve for x
    x = 407,464.85/712.88
  6. Step 6: Final answer
    x = 571.58

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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.