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Finding the Fourth Proportional to 885.40, 1,223.58 and 727.78

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Solution

The fourth proportional to 885.40, 1,223.58 and 727.78 is: 1,005.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.40 : 1,223.58 = 727.78 : x
  2. Step 2: Convert to fraction form
    885.40/1,223.58 = 727.78/x
  3. Step 3: Cross multiply
    885.40x = 1,223.58 × 727.78
  4. Step 4: Simplify right side
    885.40x = 890,497.05
  5. Step 5: Solve for x
    x = 890,497.05/885.40
  6. Step 6: Final answer
    x = 1,005.76

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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.