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Finding the Fourth Proportional to 1,027.84, 1,541.88 and 480.04

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Solution

The fourth proportional to 1,027.84, 1,541.88 and 480.04 is: 720.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.84 : 1,541.88 = 480.04 : x
  2. Step 2: Convert to fraction form
    1,027.84/1,541.88 = 480.04/x
  3. Step 3: Cross multiply
    1,027.84x = 1,541.88 × 480.04
  4. Step 4: Simplify right side
    1,027.84x = 740,164.08
  5. Step 5: Solve for x
    x = 740,164.08/1,027.84
  6. Step 6: Final answer
    x = 720.12

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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.