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Finding the Fourth Proportional to 927.04, 1,285.42 and 896.20

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Solution

The fourth proportional to 927.04, 1,285.42 and 896.20 is: 1,242.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.04 : 1,285.42 = 896.20 : x
  2. Step 2: Convert to fraction form
    927.04/1,285.42 = 896.20/x
  3. Step 3: Cross multiply
    927.04x = 1,285.42 × 896.20
  4. Step 4: Simplify right side
    927.04x = 1,151,993.40
  5. Step 5: Solve for x
    x = 1,151,993.40/927.04
  6. Step 6: Final answer
    x = 1,242.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.