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Finding the Fourth Proportional to 729.32, 1,006.34 and 467.28

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Solution

The fourth proportional to 729.32, 1,006.34 and 467.28 is: 644.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.32 : 1,006.34 = 467.28 : x
  2. Step 2: Convert to fraction form
    729.32/1,006.34 = 467.28/x
  3. Step 3: Cross multiply
    729.32x = 1,006.34 × 467.28
  4. Step 4: Simplify right side
    729.32x = 470,242.56
  5. Step 5: Solve for x
    x = 470,242.56/729.32
  6. Step 6: Final answer
    x = 644.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.