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Finding the Fourth Proportional to 470.10, 708.62 and 443.58

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Solution

The fourth proportional to 470.10, 708.62 and 443.58 is: 668.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.10 : 708.62 = 443.58 : x
  2. Step 2: Convert to fraction form
    470.10/708.62 = 443.58/x
  3. Step 3: Cross multiply
    470.10x = 708.62 × 443.58
  4. Step 4: Simplify right side
    470.10x = 314,329.66
  5. Step 5: Solve for x
    x = 314,329.66/470.10
  6. Step 6: Final answer
    x = 668.64

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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.