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Finding the Fourth Proportional to 1,295.56, 1,941.86 and 644.84

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Solution

The fourth proportional to 1,295.56, 1,941.86 and 644.84 is: 966.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.56 : 1,941.86 = 644.84 : x
  2. Step 2: Convert to fraction form
    1,295.56/1,941.86 = 644.84/x
  3. Step 3: Cross multiply
    1,295.56x = 1,941.86 × 644.84
  4. Step 4: Simplify right side
    1,295.56x = 1,252,189.00
  5. Step 5: Solve for x
    x = 1,252,189.00/1,295.56
  6. Step 6: Final answer
    x = 966.52

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1.5x scale

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.