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Finding the Fourth Proportional to 509.39, 759.68 and 432.84

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Solution

The fourth proportional to 509.39, 759.68 and 432.84 is: 645.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.39 : 759.68 = 432.84 : x
  2. Step 2: Convert to fraction form
    509.39/759.68 = 432.84/x
  3. Step 3: Cross multiply
    509.39x = 759.68 × 432.84
  4. Step 4: Simplify right side
    509.39x = 328,822.20
  5. Step 5: Solve for x
    x = 328,822.20/509.39
  6. Step 6: Final answer
    x = 645.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.