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Finding the Fourth Proportional to 975.68, 1,463.31 and 282.20

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Solution

The fourth proportional to 975.68, 1,463.31 and 282.20 is: 423.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.68 : 1,463.31 = 282.20 : x
  2. Step 2: Convert to fraction form
    975.68/1,463.31 = 282.20/x
  3. Step 3: Cross multiply
    975.68x = 1,463.31 × 282.20
  4. Step 4: Simplify right side
    975.68x = 412,943.19
  5. Step 5: Solve for x
    x = 412,943.19/975.68
  6. Step 6: Final answer
    x = 423.24

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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.