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Finding the Fourth Proportional to 478.14, 713.30 and 465.60

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Solution

The fourth proportional to 478.14, 713.30 and 465.60 is: 694.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.14 : 713.30 = 465.60 : x
  2. Step 2: Convert to fraction form
    478.14/713.30 = 465.60/x
  3. Step 3: Cross multiply
    478.14x = 713.30 × 465.60
  4. Step 4: Simplify right side
    478.14x = 332,112.48
  5. Step 5: Solve for x
    x = 332,112.48/478.14
  6. Step 6: Final answer
    x = 694.59

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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.