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Finding the Fourth Proportional to 509.46, 763.86 and 432.09

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Solution

The fourth proportional to 509.46, 763.86 and 432.09 is: 647.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.46 : 763.86 = 432.09 : x
  2. Step 2: Convert to fraction form
    509.46/763.86 = 432.09/x
  3. Step 3: Cross multiply
    509.46x = 763.86 × 432.09
  4. Step 4: Simplify right side
    509.46x = 330,056.27
  5. Step 5: Solve for x
    x = 330,056.27/509.46
  6. Step 6: Final answer
    x = 647.86

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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.