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Finding the Fourth Proportional to 923.09, 1,385.85 and 649.31

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Solution

The fourth proportional to 923.09, 1,385.85 and 649.31 is: 974.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.09 : 1,385.85 = 649.31 : x
  2. Step 2: Convert to fraction form
    923.09/1,385.85 = 649.31/x
  3. Step 3: Cross multiply
    923.09x = 1,385.85 × 649.31
  4. Step 4: Simplify right side
    923.09x = 899,846.26
  5. Step 5: Solve for x
    x = 899,846.26/923.09
  6. Step 6: Final answer
    x = 974.82

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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.