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Finding the Fourth Proportional to 920.54, 1,381.14 and 427.18

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Solution

The fourth proportional to 920.54, 1,381.14 and 427.18 is: 640.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.54 : 1,381.14 = 427.18 : x
  2. Step 2: Convert to fraction form
    920.54/1,381.14 = 427.18/x
  3. Step 3: Cross multiply
    920.54x = 1,381.14 × 427.18
  4. Step 4: Simplify right side
    920.54x = 589,991.93
  5. Step 5: Solve for x
    x = 589,991.93/920.54
  6. Step 6: Final answer
    x = 640.92

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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.