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Finding the Fourth Proportional to 1,063.40, 1,592.92 and 629.50

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Solution

The fourth proportional to 1,063.40, 1,592.92 and 629.50 is: 942.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.40 : 1,592.92 = 629.50 : x
  2. Step 2: Convert to fraction form
    1,063.40/1,592.92 = 629.50/x
  3. Step 3: Cross multiply
    1,063.40x = 1,592.92 × 629.50
  4. Step 4: Simplify right side
    1,063.40x = 1,002,743.14
  5. Step 5: Solve for x
    x = 1,002,743.14/1,063.40
  6. Step 6: Final answer
    x = 942.96

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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.