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Finding the Fourth Proportional to 1,256.50, 1,885.15 and 563.75

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Solution

The fourth proportional to 1,256.50, 1,885.15 and 563.75 is: 845.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.50 : 1,885.15 = 563.75 : x
  2. Step 2: Convert to fraction form
    1,256.50/1,885.15 = 563.75/x
  3. Step 3: Cross multiply
    1,256.50x = 1,885.15 × 563.75
  4. Step 4: Simplify right side
    1,256.50x = 1,062,750.49
  5. Step 5: Solve for x
    x = 1,062,750.49/1,256.50
  6. Step 6: Final answer
    x = 845.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.