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Finding the Fourth Proportional to 1,005.38, 1,509.04 and 485.75

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Solution

The fourth proportional to 1,005.38, 1,509.04 and 485.75 is: 729.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.38 : 1,509.04 = 485.75 : x
  2. Step 2: Convert to fraction form
    1,005.38/1,509.04 = 485.75/x
  3. Step 3: Cross multiply
    1,005.38x = 1,509.04 × 485.75
  4. Step 4: Simplify right side
    1,005.38x = 733,009.85
  5. Step 5: Solve for x
    x = 733,009.85/1,005.38
  6. Step 6: Final answer
    x = 729.09

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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.