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Finding the Fourth Proportional to 724.14, 1,086.21 and 435.78

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Solution

The fourth proportional to 724.14, 1,086.21 and 435.78 is: 653.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.14 : 1,086.21 = 435.78 : x
  2. Step 2: Convert to fraction form
    724.14/1,086.21 = 435.78/x
  3. Step 3: Cross multiply
    724.14x = 1,086.21 × 435.78
  4. Step 4: Simplify right side
    724.14x = 473,348.59
  5. Step 5: Solve for x
    x = 473,348.59/724.14
  6. Step 6: Final answer
    x = 653.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.