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Finding the Fourth Proportional to 914.52, 1,370.52 and 480.80

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Solution

The fourth proportional to 914.52, 1,370.52 and 480.80 is: 720.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.52 : 1,370.52 = 480.80 : x
  2. Step 2: Convert to fraction form
    914.52/1,370.52 = 480.80/x
  3. Step 3: Cross multiply
    914.52x = 1,370.52 × 480.80
  4. Step 4: Simplify right side
    914.52x = 658,946.02
  5. Step 5: Solve for x
    x = 658,946.02/914.52
  6. Step 6: Final answer
    x = 720.54

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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.