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Finding the Fourth Proportional to 507.06, 699.75 and 310.50

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Solution

The fourth proportional to 507.06, 699.75 and 310.50 is: 428.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.06 : 699.75 = 310.50 : x
  2. Step 2: Convert to fraction form
    507.06/699.75 = 310.50/x
  3. Step 3: Cross multiply
    507.06x = 699.75 × 310.50
  4. Step 4: Simplify right side
    507.06x = 217,272.38
  5. Step 5: Solve for x
    x = 217,272.38/507.06
  6. Step 6: Final answer
    x = 428.49

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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.