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Finding the Fourth Proportional to 508.69, 765.90 and 463.94

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Solution

The fourth proportional to 508.69, 765.90 and 463.94 is: 698.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.69 : 765.90 = 463.94 : x
  2. Step 2: Convert to fraction form
    508.69/765.90 = 463.94/x
  3. Step 3: Cross multiply
    508.69x = 765.90 × 463.94
  4. Step 4: Simplify right side
    508.69x = 355,331.65
  5. Step 5: Solve for x
    x = 355,331.65/508.69
  6. Step 6: Final answer
    x = 698.52

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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.