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Finding the Fourth Proportional to 923.24, 1,384.77 and 306.92

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Solution

The fourth proportional to 923.24, 1,384.77 and 306.92 is: 460.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.24 : 1,384.77 = 306.92 : x
  2. Step 2: Convert to fraction form
    923.24/1,384.77 = 306.92/x
  3. Step 3: Cross multiply
    923.24x = 1,384.77 × 306.92
  4. Step 4: Simplify right side
    923.24x = 425,006.68
  5. Step 5: Solve for x
    x = 425,006.68/923.24
  6. Step 6: Final answer
    x = 460.35

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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.