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Finding the Fourth Proportional to 470.51, 700.79 and 445.80

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Solution

The fourth proportional to 470.51, 700.79 and 445.80 is: 663.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.51 : 700.79 = 445.80 : x
  2. Step 2: Convert to fraction form
    470.51/700.79 = 445.80/x
  3. Step 3: Cross multiply
    470.51x = 700.79 × 445.80
  4. Step 4: Simplify right side
    470.51x = 312,414.46
  5. Step 5: Solve for x
    x = 312,414.46/470.51
  6. Step 6: Final answer
    x = 663.99

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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.