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Finding the Fourth Proportional to 920.62, 1,378.98 and 689.86

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Solution

The fourth proportional to 920.62, 1,378.98 and 689.86 is: 1,033.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.62 : 1,378.98 = 689.86 : x
  2. Step 2: Convert to fraction form
    920.62/1,378.98 = 689.86/x
  3. Step 3: Cross multiply
    920.62x = 1,378.98 × 689.86
  4. Step 4: Simplify right side
    920.62x = 951,303.14
  5. Step 5: Solve for x
    x = 951,303.14/920.62
  6. Step 6: Final answer
    x = 1,033.33

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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.