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Finding the Fourth Proportional to 919.01, 1,379.17 and 508.04

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Solution

The fourth proportional to 919.01, 1,379.17 and 508.04 is: 762.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.01 : 1,379.17 = 508.04 : x
  2. Step 2: Convert to fraction form
    919.01/1,379.17 = 508.04/x
  3. Step 3: Cross multiply
    919.01x = 1,379.17 × 508.04
  4. Step 4: Simplify right side
    919.01x = 700,673.53
  5. Step 5: Solve for x
    x = 700,673.53/919.01
  6. Step 6: Final answer
    x = 762.42

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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.