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Finding the Fourth Proportional to 923.03, 1,384.73 and 511.31

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Solution

The fourth proportional to 923.03, 1,384.73 and 511.31 is: 767.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.03 : 1,384.73 = 511.31 : x
  2. Step 2: Convert to fraction form
    923.03/1,384.73 = 511.31/x
  3. Step 3: Cross multiply
    923.03x = 1,384.73 × 511.31
  4. Step 4: Simplify right side
    923.03x = 708,016.82
  5. Step 5: Solve for x
    x = 708,016.82/923.03
  6. Step 6: Final answer
    x = 767.06

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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.