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Finding the Fourth Proportional to 919.34, 1,379.15 and 508.66

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Solution

The fourth proportional to 919.34, 1,379.15 and 508.66 is: 763.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.34 : 1,379.15 = 508.66 : x
  2. Step 2: Convert to fraction form
    919.34/1,379.15 = 508.66/x
  3. Step 3: Cross multiply
    919.34x = 1,379.15 × 508.66
  4. Step 4: Simplify right side
    919.34x = 701,518.44
  5. Step 5: Solve for x
    x = 701,518.44/919.34
  6. Step 6: Final answer
    x = 763.07

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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.