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Finding the Fourth Proportional to 506.53, 699.03 and 310.15

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Solution

The fourth proportional to 506.53, 699.03 and 310.15 is: 428.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.53 : 699.03 = 310.15 : x
  2. Step 2: Convert to fraction form
    506.53/699.03 = 310.15/x
  3. Step 3: Cross multiply
    506.53x = 699.03 × 310.15
  4. Step 4: Simplify right side
    506.53x = 216,804.15
  5. Step 5: Solve for x
    x = 216,804.15/506.53
  6. Step 6: Final answer
    x = 428.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.