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Finding the Fourth Proportional to 975.65, 1,462.37 and 481.01

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Solution

The fourth proportional to 975.65, 1,462.37 and 481.01 is: 720.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.65 : 1,462.37 = 481.01 : x
  2. Step 2: Convert to fraction form
    975.65/1,462.37 = 481.01/x
  3. Step 3: Cross multiply
    975.65x = 1,462.37 × 481.01
  4. Step 4: Simplify right side
    975.65x = 703,415.84
  5. Step 5: Solve for x
    x = 703,415.84/975.65
  6. Step 6: Final answer
    x = 720.97

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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.