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Finding the Fourth Proportional to 606.60, 910.94 and 470.61

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Solution

The fourth proportional to 606.60, 910.94 and 470.61 is: 706.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.60 : 910.94 = 470.61 : x
  2. Step 2: Convert to fraction form
    606.60/910.94 = 470.61/x
  3. Step 3: Cross multiply
    606.60x = 910.94 × 470.61
  4. Step 4: Simplify right side
    606.60x = 428,695.12
  5. Step 5: Solve for x
    x = 428,695.12/606.60
  6. Step 6: Final answer
    x = 706.72

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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.