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Finding the Fourth Proportional to 1,263.96, 1,895.64 and 442

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Solution

The fourth proportional to 1,263.96, 1,895.64 and 442 is: 662.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.96 : 1,895.64 = 442 : x
  2. Step 2: Convert to fraction form
    1,263.96/1,895.64 = 442/x
  3. Step 3: Cross multiply
    1,263.96x = 1,895.64 × 442
  4. Step 4: Simplify right side
    1,263.96x = 837,872.88
  5. Step 5: Solve for x
    x = 837,872.88/1,263.96
  6. Step 6: Final answer
    x = 662.90

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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.