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Finding the Fourth Proportional to 478.58, 716.45 and 261.50

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Solution

The fourth proportional to 478.58, 716.45 and 261.50 is: 391.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.58 : 716.45 = 261.50 : x
  2. Step 2: Convert to fraction form
    478.58/716.45 = 261.50/x
  3. Step 3: Cross multiply
    478.58x = 716.45 × 261.50
  4. Step 4: Simplify right side
    478.58x = 187,351.68
  5. Step 5: Solve for x
    x = 187,351.68/478.58
  6. Step 6: Final answer
    x = 391.47

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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.