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Finding the Fourth Proportional to 1,131.55, 1,695.70 and 644.74

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Solution

The fourth proportional to 1,131.55, 1,695.70 and 644.74 is: 966.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.55 : 1,695.70 = 644.74 : x
  2. Step 2: Convert to fraction form
    1,131.55/1,695.70 = 644.74/x
  3. Step 3: Cross multiply
    1,131.55x = 1,695.70 × 644.74
  4. Step 4: Simplify right side
    1,131.55x = 1,093,285.62
  5. Step 5: Solve for x
    x = 1,093,285.62/1,131.55
  6. Step 6: Final answer
    x = 966.18

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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.