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Finding the Fourth Proportional to 923.23, 1,377.71 and 824.68

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Solution

The fourth proportional to 923.23, 1,377.71 and 824.68 is: 1,230.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.23 : 1,377.71 = 824.68 : x
  2. Step 2: Convert to fraction form
    923.23/1,377.71 = 824.68/x
  3. Step 3: Cross multiply
    923.23x = 1,377.71 × 824.68
  4. Step 4: Simplify right side
    923.23x = 1,136,169.88
  5. Step 5: Solve for x
    x = 1,136,169.88/923.23
  6. Step 6: Final answer
    x = 1,230.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.