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Finding the Fourth Proportional to 985.43, 1,476.25 and 952.46

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Solution

The fourth proportional to 985.43, 1,476.25 and 952.46 is: 1,426.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.43 : 1,476.25 = 952.46 : x
  2. Step 2: Convert to fraction form
    985.43/1,476.25 = 952.46/x
  3. Step 3: Cross multiply
    985.43x = 1,476.25 × 952.46
  4. Step 4: Simplify right side
    985.43x = 1,406,059.31
  5. Step 5: Solve for x
    x = 1,406,059.31/985.43
  6. Step 6: Final answer
    x = 1,426.84

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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.