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Finding the Fourth Proportional to 509.78, 703.32 and 310.61

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Solution

The fourth proportional to 509.78, 703.32 and 310.61 is: 428.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.78 : 703.32 = 310.61 : x
  2. Step 2: Convert to fraction form
    509.78/703.32 = 310.61/x
  3. Step 3: Cross multiply
    509.78x = 703.32 × 310.61
  4. Step 4: Simplify right side
    509.78x = 218,458.23
  5. Step 5: Solve for x
    x = 218,458.23/509.78
  6. Step 6: Final answer
    x = 428.53

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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.