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Finding the Fourth Proportional to 1,174.10, 1,759.64 and 442.80

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Solution

The fourth proportional to 1,174.10, 1,759.64 and 442.80 is: 663.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.10 : 1,759.64 = 442.80 : x
  2. Step 2: Convert to fraction form
    1,174.10/1,759.64 = 442.80/x
  3. Step 3: Cross multiply
    1,174.10x = 1,759.64 × 442.80
  4. Step 4: Simplify right side
    1,174.10x = 779,166.38
  5. Step 5: Solve for x
    x = 779,166.38/1,174.10
  6. Step 6: Final answer
    x = 663.63

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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.