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Finding the Fourth Proportional to 712.96, 983.67 and 414.15

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Solution

The fourth proportional to 712.96, 983.67 and 414.15 is: 571.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.96 : 983.67 = 414.15 : x
  2. Step 2: Convert to fraction form
    712.96/983.67 = 414.15/x
  3. Step 3: Cross multiply
    712.96x = 983.67 × 414.15
  4. Step 4: Simplify right side
    712.96x = 407,386.93
  5. Step 5: Solve for x
    x = 407,386.93/712.96
  6. Step 6: Final answer
    x = 571.40

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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.