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Finding the Fourth Proportional to 470.61, 701.06 and 440.71

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Solution

The fourth proportional to 470.61, 701.06 and 440.71 is: 656.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.61 : 701.06 = 440.71 : x
  2. Step 2: Convert to fraction form
    470.61/701.06 = 440.71/x
  3. Step 3: Cross multiply
    470.61x = 701.06 × 440.71
  4. Step 4: Simplify right side
    470.61x = 308,960.20
  5. Step 5: Solve for x
    x = 308,960.20/470.61
  6. Step 6: Final answer
    x = 656.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.