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Finding the Fourth Proportional to 509.93, 759.63 and 486.44

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Solution

The fourth proportional to 509.93, 759.63 and 486.44 is: 724.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.93 : 759.63 = 486.44 : x
  2. Step 2: Convert to fraction form
    509.93/759.63 = 486.44/x
  3. Step 3: Cross multiply
    509.93x = 759.63 × 486.44
  4. Step 4: Simplify right side
    509.93x = 369,514.42
  5. Step 5: Solve for x
    x = 369,514.42/509.93
  6. Step 6: Final answer
    x = 724.64

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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.