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Finding the Fourth Proportional to 509.61, 764.46 and 347.43

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Solution

The fourth proportional to 509.61, 764.46 and 347.43 is: 521.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.61 : 764.46 = 347.43 : x
  2. Step 2: Convert to fraction form
    509.61/764.46 = 347.43/x
  3. Step 3: Cross multiply
    509.61x = 764.46 × 347.43
  4. Step 4: Simplify right side
    509.61x = 265,596.34
  5. Step 5: Solve for x
    x = 265,596.34/509.61
  6. Step 6: Final answer
    x = 521.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.