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Finding the Fourth Proportional to 509.50, 767.78 and 460.78

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Solution

The fourth proportional to 509.50, 767.78 and 460.78 is: 694.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.50 : 767.78 = 460.78 : x
  2. Step 2: Convert to fraction form
    509.50/767.78 = 460.78/x
  3. Step 3: Cross multiply
    509.50x = 767.78 × 460.78
  4. Step 4: Simplify right side
    509.50x = 353,773.83
  5. Step 5: Solve for x
    x = 353,773.83/509.50
  6. Step 6: Final answer
    x = 694.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.