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Finding the Fourth Proportional to 503.89, 759.20 and 455.20

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Solution

The fourth proportional to 503.89, 759.20 and 455.20 is: 685.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.89 : 759.20 = 455.20 : x
  2. Step 2: Convert to fraction form
    503.89/759.20 = 455.20/x
  3. Step 3: Cross multiply
    503.89x = 759.20 × 455.20
  4. Step 4: Simplify right side
    503.89x = 345,587.84
  5. Step 5: Solve for x
    x = 345,587.84/503.89
  6. Step 6: Final answer
    x = 685.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.