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Finding the Fourth Proportional to 920.66, 1,379.17 and 596.26

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Solution

The fourth proportional to 920.66, 1,379.17 and 596.26 is: 893.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.66 : 1,379.17 = 596.26 : x
  2. Step 2: Convert to fraction form
    920.66/1,379.17 = 596.26/x
  3. Step 3: Cross multiply
    920.66x = 1,379.17 × 596.26
  4. Step 4: Simplify right side
    920.66x = 822,334.03
  5. Step 5: Solve for x
    x = 822,334.03/920.66
  6. Step 6: Final answer
    x = 893.20

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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.