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Finding the Fourth Proportional to 509.78, 764.78 and 304.10

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Solution

The fourth proportional to 509.78, 764.78 and 304.10 is: 456.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.78 : 764.78 = 304.10 : x
  2. Step 2: Convert to fraction form
    509.78/764.78 = 304.10/x
  3. Step 3: Cross multiply
    509.78x = 764.78 × 304.10
  4. Step 4: Simplify right side
    509.78x = 232,569.60
  5. Step 5: Solve for x
    x = 232,569.60/509.78
  6. Step 6: Final answer
    x = 456.22

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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.