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Finding the Fourth Proportional to 509.69, 765.15 and 304.46

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Solution

The fourth proportional to 509.69, 765.15 and 304.46 is: 457.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.69 : 765.15 = 304.46 : x
  2. Step 2: Convert to fraction form
    509.69/765.15 = 304.46/x
  3. Step 3: Cross multiply
    509.69x = 765.15 × 304.46
  4. Step 4: Simplify right side
    509.69x = 232,955.47
  5. Step 5: Solve for x
    x = 232,955.47/509.69
  6. Step 6: Final answer
    x = 457.05

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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.