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Finding the Fourth Proportional to 608.38, 910.30 and 509.83

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Solution

The fourth proportional to 608.38, 910.30 and 509.83 is: 762.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.38 : 910.30 = 509.83 : x
  2. Step 2: Convert to fraction form
    608.38/910.30 = 509.83/x
  3. Step 3: Cross multiply
    608.38x = 910.30 × 509.83
  4. Step 4: Simplify right side
    608.38x = 464,098.25
  5. Step 5: Solve for x
    x = 464,098.25/608.38
  6. Step 6: Final answer
    x = 762.84

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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.