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Finding the Fourth Proportional to 519.15, 777.45 and 302.07

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Solution

The fourth proportional to 519.15, 777.45 and 302.07 is: 452.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.15 : 777.45 = 302.07 : x
  2. Step 2: Convert to fraction form
    519.15/777.45 = 302.07/x
  3. Step 3: Cross multiply
    519.15x = 777.45 × 302.07
  4. Step 4: Simplify right side
    519.15x = 234,844.32
  5. Step 5: Solve for x
    x = 234,844.32/519.15
  6. Step 6: Final answer
    x = 452.36

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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.