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Finding the Fourth Proportional to 507.02, 699.32 and 310.64

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Solution

The fourth proportional to 507.02, 699.32 and 310.64 is: 428.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.02 : 699.32 = 310.64 : x
  2. Step 2: Convert to fraction form
    507.02/699.32 = 310.64/x
  3. Step 3: Cross multiply
    507.02x = 699.32 × 310.64
  4. Step 4: Simplify right side
    507.02x = 217,234.04
  5. Step 5: Solve for x
    x = 217,234.04/507.02
  6. Step 6: Final answer
    x = 428.46

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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.