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Finding the Fourth Proportional to 1,480.19, 2,220.02 and 492.90

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Solution

The fourth proportional to 1,480.19, 2,220.02 and 492.90 is: 739.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.19 : 2,220.02 = 492.90 : x
  2. Step 2: Convert to fraction form
    1,480.19/2,220.02 = 492.90/x
  3. Step 3: Cross multiply
    1,480.19x = 2,220.02 × 492.90
  4. Step 4: Simplify right side
    1,480.19x = 1,094,247.86
  5. Step 5: Solve for x
    x = 1,094,247.86/1,480.19
  6. Step 6: Final answer
    x = 739.26

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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.