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Finding the Fourth Proportional to 519.45, 776.88 and 462.08

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Solution

The fourth proportional to 519.45, 776.88 and 462.08 is: 691.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.45 : 776.88 = 462.08 : x
  2. Step 2: Convert to fraction form
    519.45/776.88 = 462.08/x
  3. Step 3: Cross multiply
    519.45x = 776.88 × 462.08
  4. Step 4: Simplify right side
    519.45x = 358,976.83
  5. Step 5: Solve for x
    x = 358,976.83/519.45
  6. Step 6: Final answer
    x = 691.07

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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.