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Finding the Fourth Proportional to 508.08, 699.48 and 442.20

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Solution

The fourth proportional to 508.08, 699.48 and 442.20 is: 608.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.08 : 699.48 = 442.20 : x
  2. Step 2: Convert to fraction form
    508.08/699.48 = 442.20/x
  3. Step 3: Cross multiply
    508.08x = 699.48 × 442.20
  4. Step 4: Simplify right side
    508.08x = 309,310.06
  5. Step 5: Solve for x
    x = 309,310.06/508.08
  6. Step 6: Final answer
    x = 608.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.