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Finding the Fourth Proportional to 470.31, 706.83 and 452.08

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Solution

The fourth proportional to 470.31, 706.83 and 452.08 is: 679.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.31 : 706.83 = 452.08 : x
  2. Step 2: Convert to fraction form
    470.31/706.83 = 452.08/x
  3. Step 3: Cross multiply
    470.31x = 706.83 × 452.08
  4. Step 4: Simplify right side
    470.31x = 319,542.89
  5. Step 5: Solve for x
    x = 319,542.89/470.31
  6. Step 6: Final answer
    x = 679.44

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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.