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Finding the Fourth Proportional to 713.50, 985.44 and 480.22

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Solution

The fourth proportional to 713.50, 985.44 and 480.22 is: 663.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.50 : 985.44 = 480.22 : x
  2. Step 2: Convert to fraction form
    713.50/985.44 = 480.22/x
  3. Step 3: Cross multiply
    713.50x = 985.44 × 480.22
  4. Step 4: Simplify right side
    713.50x = 473,228.00
  5. Step 5: Solve for x
    x = 473,228.00/713.50
  6. Step 6: Final answer
    x = 663.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.