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Finding the Fourth Proportional to 508.10, 765.62 and 418.80

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Solution

The fourth proportional to 508.10, 765.62 and 418.80 is: 631.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.10 : 765.62 = 418.80 : x
  2. Step 2: Convert to fraction form
    508.10/765.62 = 418.80/x
  3. Step 3: Cross multiply
    508.10x = 765.62 × 418.80
  4. Step 4: Simplify right side
    508.10x = 320,641.66
  5. Step 5: Solve for x
    x = 320,641.66/508.10
  6. Step 6: Final answer
    x = 631.06

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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.