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Finding the Fourth Proportional to 920.59, 1,380.93 and 554.25

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Solution

The fourth proportional to 920.59, 1,380.93 and 554.25 is: 831.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.59 : 1,380.93 = 554.25 : x
  2. Step 2: Convert to fraction form
    920.59/1,380.93 = 554.25/x
  3. Step 3: Cross multiply
    920.59x = 1,380.93 × 554.25
  4. Step 4: Simplify right side
    920.59x = 765,377.68
  5. Step 5: Solve for x
    x = 765,377.68/920.59
  6. Step 6: Final answer
    x = 831.40

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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.