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Finding the Fourth Proportional to 471.97, 707.96 and 278.33

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Solution

The fourth proportional to 471.97, 707.96 and 278.33 is: 417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.97 : 707.96 = 278.33 : x
  2. Step 2: Convert to fraction form
    471.97/707.96 = 278.33/x
  3. Step 3: Cross multiply
    471.97x = 707.96 × 278.33
  4. Step 4: Simplify right side
    471.97x = 197,044.74
  5. Step 5: Solve for x
    x = 197,044.74/471.97
  6. Step 6: Final answer
    x = 417.50

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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.