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Finding the Fourth Proportional to 435.60, 656.03 and 411.30

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Solution

The fourth proportional to 435.60, 656.03 and 411.30 is: 619.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.60 : 656.03 = 411.30 : x
  2. Step 2: Convert to fraction form
    435.60/656.03 = 411.30/x
  3. Step 3: Cross multiply
    435.60x = 656.03 × 411.30
  4. Step 4: Simplify right side
    435.60x = 269,823.08
  5. Step 5: Solve for x
    x = 269,823.08/435.60
  6. Step 6: Final answer
    x = 619.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.