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Finding the Fourth Proportional to 883.72, 1,318.36 and 812.28

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Solution

The fourth proportional to 883.72, 1,318.36 and 812.28 is: 1,211.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.72 : 1,318.36 = 812.28 : x
  2. Step 2: Convert to fraction form
    883.72/1,318.36 = 812.28/x
  3. Step 3: Cross multiply
    883.72x = 1,318.36 × 812.28
  4. Step 4: Simplify right side
    883.72x = 1,070,875.43
  5. Step 5: Solve for x
    x = 1,070,875.43/883.72
  6. Step 6: Final answer
    x = 1,211.78

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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.