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Finding the Fourth Proportional to 470.55, 709.46 and 409.40

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Solution

The fourth proportional to 470.55, 709.46 and 409.40 is: 617.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.55 : 709.46 = 409.40 : x
  2. Step 2: Convert to fraction form
    470.55/709.46 = 409.40/x
  3. Step 3: Cross multiply
    470.55x = 709.46 × 409.40
  4. Step 4: Simplify right side
    470.55x = 290,447.33
  5. Step 5: Solve for x
    x = 290,447.33/470.55
  6. Step 6: Final answer
    x = 617.25

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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.