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Finding the Fourth Proportional to 507.21, 699.75 and 310.65

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Solution

The fourth proportional to 507.21, 699.75 and 310.65 is: 428.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.21 : 699.75 = 310.65 : x
  2. Step 2: Convert to fraction form
    507.21/699.75 = 310.65/x
  3. Step 3: Cross multiply
    507.21x = 699.75 × 310.65
  4. Step 4: Simplify right side
    507.21x = 217,377.34
  5. Step 5: Solve for x
    x = 217,377.34/507.21
  6. Step 6: Final answer
    x = 428.57

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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.