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Finding the Fourth Proportional to 920.54, 1,378.78 and 594.92

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Solution

The fourth proportional to 920.54, 1,378.78 and 594.92 is: 891.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.54 : 1,378.78 = 594.92 : x
  2. Step 2: Convert to fraction form
    920.54/1,378.78 = 594.92/x
  3. Step 3: Cross multiply
    920.54x = 1,378.78 × 594.92
  4. Step 4: Simplify right side
    920.54x = 820,255.42
  5. Step 5: Solve for x
    x = 820,255.42/920.54
  6. Step 6: Final answer
    x = 891.06

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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.