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Finding the Fourth Proportional to 505.54, 757.55 and 310.03

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Solution

The fourth proportional to 505.54, 757.55 and 310.03 is: 464.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.54 : 757.55 = 310.03 : x
  2. Step 2: Convert to fraction form
    505.54/757.55 = 310.03/x
  3. Step 3: Cross multiply
    505.54x = 757.55 × 310.03
  4. Step 4: Simplify right side
    505.54x = 234,862.11
  5. Step 5: Solve for x
    x = 234,862.11/505.54
  6. Step 6: Final answer
    x = 464.58

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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.