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Finding the Fourth Proportional to 1,232.76, 1,702.08 and 883.92

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Solution

The fourth proportional to 1,232.76, 1,702.08 and 883.92 is: 1,220.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.76 : 1,702.08 = 883.92 : x
  2. Step 2: Convert to fraction form
    1,232.76/1,702.08 = 883.92/x
  3. Step 3: Cross multiply
    1,232.76x = 1,702.08 × 883.92
  4. Step 4: Simplify right side
    1,232.76x = 1,504,502.55
  5. Step 5: Solve for x
    x = 1,504,502.55/1,232.76
  6. Step 6: Final answer
    x = 1,220.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.