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Finding the Fourth Proportional to 923.34, 1,381.74 and 576.39

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Solution

The fourth proportional to 923.34, 1,381.74 and 576.39 is: 862.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.34 : 1,381.74 = 576.39 : x
  2. Step 2: Convert to fraction form
    923.34/1,381.74 = 576.39/x
  3. Step 3: Cross multiply
    923.34x = 1,381.74 × 576.39
  4. Step 4: Simplify right side
    923.34x = 796,421.12
  5. Step 5: Solve for x
    x = 796,421.12/923.34
  6. Step 6: Final answer
    x = 862.54

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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.