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Finding the Fourth Proportional to 508.23, 759.69 and 439.58

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Solution

The fourth proportional to 508.23, 759.69 and 439.58 is: 657.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.23 : 759.69 = 439.58 : x
  2. Step 2: Convert to fraction form
    508.23/759.69 = 439.58/x
  3. Step 3: Cross multiply
    508.23x = 759.69 × 439.58
  4. Step 4: Simplify right side
    508.23x = 333,946.43
  5. Step 5: Solve for x
    x = 333,946.43/508.23
  6. Step 6: Final answer
    x = 657.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.