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Finding the Fourth Proportional to 936.53, 1,285.49 and 896.43

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Solution

The fourth proportional to 936.53, 1,285.49 and 896.43 is: 1,230.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.53 : 1,285.49 = 896.43 : x
  2. Step 2: Convert to fraction form
    936.53/1,285.49 = 896.43/x
  3. Step 3: Cross multiply
    936.53x = 1,285.49 × 896.43
  4. Step 4: Simplify right side
    936.53x = 1,152,347.32
  5. Step 5: Solve for x
    x = 1,152,347.32/936.53
  6. Step 6: Final answer
    x = 1,230.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.