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Finding the Fourth Proportional to 729, 1,005.60 and 480.36

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Solution

The fourth proportional to 729, 1,005.60 and 480.36 is: 662.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    729 : 1,005.60 = 480.36 : x
  2. Step 2: Convert to fraction form
    729/1,005.60 = 480.36/x
  3. Step 3: Cross multiply
    729x = 1,005.60 × 480.36
  4. Step 4: Simplify right side
    729x = 483,050.02
  5. Step 5: Solve for x
    x = 483,050.02/729
  6. Step 6: Final answer
    x = 662.62

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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.