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Finding the Fourth Proportional to 2,490.65, 3,735.41 and 735.28

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Solution

The fourth proportional to 2,490.65, 3,735.41 and 735.28 is: 1,102.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.65 : 3,735.41 = 735.28 : x
  2. Step 2: Convert to fraction form
    2,490.65/3,735.41 = 735.28/x
  3. Step 3: Cross multiply
    2,490.65x = 3,735.41 × 735.28
  4. Step 4: Simplify right side
    2,490.65x = 2,746,572.26
  5. Step 5: Solve for x
    x = 2,746,572.26/2,490.65
  6. Step 6: Final answer
    x = 1,102.75

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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.