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Finding the Fourth Proportional to 1,256.80, 1,885.92 and 563.50

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Solution

The fourth proportional to 1,256.80, 1,885.92 and 563.50 is: 845.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.80 : 1,885.92 = 563.50 : x
  2. Step 2: Convert to fraction form
    1,256.80/1,885.92 = 563.50/x
  3. Step 3: Cross multiply
    1,256.80x = 1,885.92 × 563.50
  4. Step 4: Simplify right side
    1,256.80x = 1,062,715.92
  5. Step 5: Solve for x
    x = 1,062,715.92/1,256.80
  6. Step 6: Final answer
    x = 845.57

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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.