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Finding the Fourth Proportional to 509.63, 765.47 and 304.59

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Solution

The fourth proportional to 509.63, 765.47 and 304.59 is: 457.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.63 : 765.47 = 304.59 : x
  2. Step 2: Convert to fraction form
    509.63/765.47 = 304.59/x
  3. Step 3: Cross multiply
    509.63x = 765.47 × 304.59
  4. Step 4: Simplify right side
    509.63x = 233,152.98
  5. Step 5: Solve for x
    x = 233,152.98/509.63
  6. Step 6: Final answer
    x = 457.50

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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.