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Finding the Fourth Proportional to 923.14, 1,381.26 and 558.19

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Solution

The fourth proportional to 923.14, 1,381.26 and 558.19 is: 835.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.14 : 1,381.26 = 558.19 : x
  2. Step 2: Convert to fraction form
    923.14/1,381.26 = 558.19/x
  3. Step 3: Cross multiply
    923.14x = 1,381.26 × 558.19
  4. Step 4: Simplify right side
    923.14x = 770,998.61
  5. Step 5: Solve for x
    x = 770,998.61/923.14
  6. Step 6: Final answer
    x = 835.20

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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.