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Finding the Fourth Proportional to 478.54, 716.91 and 261.46

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Solution

The fourth proportional to 478.54, 716.91 and 261.46 is: 391.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.54 : 716.91 = 261.46 : x
  2. Step 2: Convert to fraction form
    478.54/716.91 = 261.46/x
  3. Step 3: Cross multiply
    478.54x = 716.91 × 261.46
  4. Step 4: Simplify right side
    478.54x = 187,443.29
  5. Step 5: Solve for x
    x = 187,443.29/478.54
  6. Step 6: Final answer
    x = 391.70

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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.