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Finding the Fourth Proportional to 470.42, 700.09 and 453.14

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Solution

The fourth proportional to 470.42, 700.09 and 453.14 is: 674.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.42 : 700.09 = 453.14 : x
  2. Step 2: Convert to fraction form
    470.42/700.09 = 453.14/x
  3. Step 3: Cross multiply
    470.42x = 700.09 × 453.14
  4. Step 4: Simplify right side
    470.42x = 317,238.78
  5. Step 5: Solve for x
    x = 317,238.78/470.42
  6. Step 6: Final answer
    x = 674.37

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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.