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Finding the Fourth Proportional to 975.82, 1,463.37 and 282.25

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Solution

The fourth proportional to 975.82, 1,463.37 and 282.25 is: 423.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.82 : 1,463.37 = 282.25 : x
  2. Step 2: Convert to fraction form
    975.82/1,463.37 = 282.25/x
  3. Step 3: Cross multiply
    975.82x = 1,463.37 × 282.25
  4. Step 4: Simplify right side
    975.82x = 413,036.18
  5. Step 5: Solve for x
    x = 413,036.18/975.82
  6. Step 6: Final answer
    x = 423.27

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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.