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Finding the Fourth Proportional to 1,774.40, 2,662.48 and 735.20

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Solution

The fourth proportional to 1,774.40, 2,662.48 and 735.20 is: 1,103.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.40 : 2,662.48 = 735.20 : x
  2. Step 2: Convert to fraction form
    1,774.40/2,662.48 = 735.20/x
  3. Step 3: Cross multiply
    1,774.40x = 2,662.48 × 735.20
  4. Step 4: Simplify right side
    1,774.40x = 1,957,455.30
  5. Step 5: Solve for x
    x = 1,957,455.30/1,774.40
  6. Step 6: Final answer
    x = 1,103.16

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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.