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Finding the Fourth Proportional to 1,578.03, 2,366.28 and 920.14

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Solution

The fourth proportional to 1,578.03, 2,366.28 and 920.14 is: 1,379.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.03 : 2,366.28 = 920.14 : x
  2. Step 2: Convert to fraction form
    1,578.03/2,366.28 = 920.14/x
  3. Step 3: Cross multiply
    1,578.03x = 2,366.28 × 920.14
  4. Step 4: Simplify right side
    1,578.03x = 2,177,308.88
  5. Step 5: Solve for x
    x = 2,177,308.88/1,578.03
  6. Step 6: Final answer
    x = 1,379.76

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1.5x scale

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.