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Finding the Fourth Proportional to 2,480.60, 3,718.50 and 920.16

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Solution

The fourth proportional to 2,480.60, 3,718.50 and 920.16 is: 1,379.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.60 : 3,718.50 = 920.16 : x
  2. Step 2: Convert to fraction form
    2,480.60/3,718.50 = 920.16/x
  3. Step 3: Cross multiply
    2,480.60x = 3,718.50 × 920.16
  4. Step 4: Simplify right side
    2,480.60x = 3,421,614.96
  5. Step 5: Solve for x
    x = 3,421,614.96/2,480.60
  6. Step 6: Final answer
    x = 1,379.35

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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.