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Finding the Fourth Proportional to 1,173.02, 1,759.98 and 442.78

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Solution

The fourth proportional to 1,173.02, 1,759.98 and 442.78 is: 664.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.02 : 1,759.98 = 442.78 : x
  2. Step 2: Convert to fraction form
    1,173.02/1,759.98 = 442.78/x
  3. Step 3: Cross multiply
    1,173.02x = 1,759.98 × 442.78
  4. Step 4: Simplify right side
    1,173.02x = 779,283.94
  5. Step 5: Solve for x
    x = 779,283.94/1,173.02
  6. Step 6: Final answer
    x = 664.34

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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.