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Finding the Fourth Proportional to 509.75, 765.65 and 304.72

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Solution

The fourth proportional to 509.75, 765.65 and 304.72 is: 457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.75 : 765.65 = 304.72 : x
  2. Step 2: Convert to fraction form
    509.75/765.65 = 304.72/x
  3. Step 3: Cross multiply
    509.75x = 765.65 × 304.72
  4. Step 4: Simplify right side
    509.75x = 233,305.43
  5. Step 5: Solve for x
    x = 233,305.43/509.75
  6. Step 6: Final answer
    x = 457.68

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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.