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Finding the Fourth Proportional to 508.10, 763.30 and 438.90

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Solution

The fourth proportional to 508.10, 763.30 and 438.90 is: 659.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.10 : 763.30 = 438.90 : x
  2. Step 2: Convert to fraction form
    508.10/763.30 = 438.90/x
  3. Step 3: Cross multiply
    508.10x = 763.30 × 438.90
  4. Step 4: Simplify right side
    508.10x = 335,012.37
  5. Step 5: Solve for x
    x = 335,012.37/508.10
  6. Step 6: Final answer
    x = 659.34

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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.