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Finding the Fourth Proportional to 971.24, 1,448.37 and 905.63

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Solution

The fourth proportional to 971.24, 1,448.37 and 905.63 is: 1,350.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.24 : 1,448.37 = 905.63 : x
  2. Step 2: Convert to fraction form
    971.24/1,448.37 = 905.63/x
  3. Step 3: Cross multiply
    971.24x = 1,448.37 × 905.63
  4. Step 4: Simplify right side
    971.24x = 1,311,680.08
  5. Step 5: Solve for x
    x = 1,311,680.08/971.24
  6. Step 6: Final answer
    x = 1,350.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.