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Finding the Fourth Proportional to 470.60, 709.38 and 444.08

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Solution

The fourth proportional to 470.60, 709.38 and 444.08 is: 669.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.60 : 709.38 = 444.08 : x
  2. Step 2: Convert to fraction form
    470.60/709.38 = 444.08/x
  3. Step 3: Cross multiply
    470.60x = 709.38 × 444.08
  4. Step 4: Simplify right side
    470.60x = 315,017.92
  5. Step 5: Solve for x
    x = 315,017.92/470.60
  6. Step 6: Final answer
    x = 669.40

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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.